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Finding the Fourth Proportional to 478,553,731.80, 717,830,597.70 and 409,678,978.20

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Solution

The fourth proportional to 478,553,731.80, 717,830,597.70 and 409,678,978.20 is: 614,518,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,553,731.80 : 717,830,597.70 = 409,678,978.20 : x
  2. Step 2: Convert to fraction form
    478,553,731.80/717,830,597.70 = 409,678,978.20/x
  3. Step 3: Cross multiply
    478,553,731.80x = 717,830,597.70 × 409,678,978.20
  4. Step 4: Simplify right side
    478,553,731.80x = 294,080,105,786,431,296
  5. Step 5: Solve for x
    x = 294,080,105,786,431,296/478,553,731.80
  6. Step 6: Final answer
    x = 614,518,467.30

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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.