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Finding the Fourth Proportional to 467,895,607.80, 703,355,066.10 and 431,615,902.20

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Solution

The fourth proportional to 467,895,607.80, 703,355,066.10 and 431,615,902.20 is: 648,818,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,895,607.80 : 703,355,066.10 = 431,615,902.20 : x
  2. Step 2: Convert to fraction form
    467,895,607.80/703,355,066.10 = 431,615,902.20/x
  3. Step 3: Cross multiply
    467,895,607.80x = 703,355,066.10 × 431,615,902.20
  4. Step 4: Simplify right side
    467,895,607.80x = 303,579,231,421,692,160
  5. Step 5: Solve for x
    x = 303,579,231,421,692,160/467,895,607.80
  6. Step 6: Final answer
    x = 648,818,296.99

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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.