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Finding the Fourth Proportional to 85,214,971.80, 127,822,457.70 and 85,214,971.80

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Solution

The fourth proportional to 85,214,971.80, 127,822,457.70 and 85,214,971.80 is: 127,822,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214,971.80 : 127,822,457.70 = 85,214,971.80 : x
  2. Step 2: Convert to fraction form
    85,214,971.80/127,822,457.70 = 85,214,971.80/x
  3. Step 3: Cross multiply
    85,214,971.80x = 127,822,457.70 × 85,214,971.80
  4. Step 4: Simplify right side
    85,214,971.80x = 10,892,387,128,312,192
  5. Step 5: Solve for x
    x = 10,892,387,128,312,192/85,214,971.80
  6. Step 6: Final answer
    x = 127,822,457.70

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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.