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Finding the Fourth Proportional to 856,302,002.90, 1,201,241,451.10 and 856,302,002.90

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Solution

The fourth proportional to 856,302,002.90, 1,201,241,451.10 and 856,302,002.90 is: 1,201,241,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,302,002.90 : 1,201,241,451.10 = 856,302,002.90 : x
  2. Step 2: Convert to fraction form
    856,302,002.90/1,201,241,451.10 = 856,302,002.90/x
  3. Step 3: Cross multiply
    856,302,002.90x = 1,201,241,451.10 × 856,302,002.90
  4. Step 4: Simplify right side
    856,302,002.90x = 1,028,625,460,543,432,320
  5. Step 5: Solve for x
    x = 1,028,625,460,543,432,320/856,302,002.90
  6. Step 6: Final answer
    x = 1,201,241,451.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.