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Finding the Fourth Proportional to 191,476,306,971.90, 287,214,460,457.84 and 191,476,306,971.90

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Solution

The fourth proportional to 191,476,306,971.90, 287,214,460,457.84 and 191,476,306,971.90 is: 287,214,460,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,476,306,971.90 : 287,214,460,457.84 = 191,476,306,971.90 : x
  2. Step 2: Convert to fraction form
    191,476,306,971.90/287,214,460,457.84 = 191,476,306,971.90/x
  3. Step 3: Cross multiply
    191,476,306,971.90x = 287,214,460,457.84 × 191,476,306,971.90
  4. Step 4: Simplify right side
    191,476,306,971.90x = 54,994,764,197,394,005,360,640
  5. Step 5: Solve for x
    x = 54,994,764,197,394,005,360,640/191,476,306,971.90
  6. Step 6: Final answer
    x = 287,214,460,457.84

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.