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Finding the Fourth Proportional to 735,842,213.10, 1,103,763,319.65 and 572,583,537.90

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Solution

The fourth proportional to 735,842,213.10, 1,103,763,319.65 and 572,583,537.90 is: 858,875,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,842,213.10 : 1,103,763,319.65 = 572,583,537.90 : x
  2. Step 2: Convert to fraction form
    735,842,213.10/1,103,763,319.65 = 572,583,537.90/x
  3. Step 3: Cross multiply
    735,842,213.10x = 1,103,763,319.65 × 572,583,537.90
  4. Step 4: Simplify right side
    735,842,213.10x = 631,996,706,569,445,632
  5. Step 5: Solve for x
    x = 631,996,706,569,445,632/735,842,213.10
  6. Step 6: Final answer
    x = 858,875,306.85

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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.