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Finding the Fourth Proportional to 478,590,558.80, 717,885,838.20 and 409,715,805.20

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Solution

The fourth proportional to 478,590,558.80, 717,885,838.20 and 409,715,805.20 is: 614,573,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,590,558.80 : 717,885,838.20 = 409,715,805.20 : x
  2. Step 2: Convert to fraction form
    478,590,558.80/717,885,838.20 = 409,715,805.20/x
  3. Step 3: Cross multiply
    478,590,558.80x = 717,885,838.20 × 409,715,805.20
  4. Step 4: Simplify right side
    478,590,558.80x = 294,129,174,239,789,952
  5. Step 5: Solve for x
    x = 294,129,174,239,789,952/478,590,558.80
  6. Step 6: Final answer
    x = 614,573,707.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.