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Finding the Fourth Proportional to 497,841,649.60, 746,762,474.40 and 429,761,214.40

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Solution

The fourth proportional to 497,841,649.60, 746,762,474.40 and 429,761,214.40 is: 644,641,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,841,649.60 : 746,762,474.40 = 429,761,214.40 : x
  2. Step 2: Convert to fraction form
    497,841,649.60/746,762,474.40 = 429,761,214.40/x
  3. Step 3: Cross multiply
    497,841,649.60x = 746,762,474.40 × 429,761,214.40
  4. Step 4: Simplify right side
    497,841,649.60x = 320,929,547,866,492,864
  5. Step 5: Solve for x
    x = 320,929,547,866,492,864/497,841,649.60
  6. Step 6: Final answer
    x = 644,641,821.60

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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.