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Finding the Fourth Proportional to 497,670,801.60, 746,506,202.40 and 293,093,572.80

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Solution

The fourth proportional to 497,670,801.60, 746,506,202.40 and 293,093,572.80 is: 439,640,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,670,801.60 : 746,506,202.40 = 293,093,572.80 : x
  2. Step 2: Convert to fraction form
    497,670,801.60/746,506,202.40 = 293,093,572.80/x
  3. Step 3: Cross multiply
    497,670,801.60x = 746,506,202.40 × 293,093,572.80
  4. Step 4: Simplify right side
    497,670,801.60x = 218,796,169,978,775,936
  5. Step 5: Solve for x
    x = 218,796,169,978,775,936/497,670,801.60
  6. Step 6: Final answer
    x = 439,640,359.20

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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.