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Finding the Fourth Proportional to 531,442,493.60, 797,163,740.40 and 469,024,748.15

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Solution

The fourth proportional to 531,442,493.60, 797,163,740.40 and 469,024,748.15 is: 703,537,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,442,493.60 : 797,163,740.40 = 469,024,748.15 : x
  2. Step 2: Convert to fraction form
    531,442,493.60/797,163,740.40 = 469,024,748.15/x
  3. Step 3: Cross multiply
    531,442,493.60x = 797,163,740.40 × 469,024,748.15
  4. Step 4: Simplify right side
    531,442,493.60x = 373,889,522,575,421,952
  5. Step 5: Solve for x
    x = 373,889,522,575,421,952/531,442,493.60
  6. Step 6: Final answer
    x = 703,537,122.23

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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.