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Finding the Fourth Proportional to 497,712,700.80, 746,569,051.20 and 394,920,201.60

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Solution

The fourth proportional to 497,712,700.80, 746,569,051.20 and 394,920,201.60 is: 592,380,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,712,700.80 : 746,569,051.20 = 394,920,201.60 : x
  2. Step 2: Convert to fraction form
    497,712,700.80/746,569,051.20 = 394,920,201.60/x
  3. Step 3: Cross multiply
    497,712,700.80x = 746,569,051.20 × 394,920,201.60
  4. Step 4: Simplify right side
    497,712,700.80x = 294,835,200,208,224,768
  5. Step 5: Solve for x
    x = 294,835,200,208,224,768/497,712,700.80
  6. Step 6: Final answer
    x = 592,380,302.40

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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.