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Finding the Fourth Proportional to 410,536,782.66, 566,398,782.29 and 311,314,167.30

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Solution

The fourth proportional to 410,536,782.66, 566,398,782.29 and 311,314,167.30 is: 429,505,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,536,782.66 : 566,398,782.29 = 311,314,167.30 : x
  2. Step 2: Convert to fraction form
    410,536,782.66/566,398,782.29 = 311,314,167.30/x
  3. Step 3: Cross multiply
    410,536,782.66x = 566,398,782.29 × 311,314,167.30
  4. Step 4: Simplify right side
    410,536,782.66x = 176,327,965,266,788,768
  5. Step 5: Solve for x
    x = 176,327,965,266,788,768/410,536,782.66
  6. Step 6: Final answer
    x = 429,505,887.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.