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Finding the Fourth Proportional to 413,514,828.30, 620,272,242.45 and 260,459,820.30

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Solution

The fourth proportional to 413,514,828.30, 620,272,242.45 and 260,459,820.30 is: 390,689,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,514,828.30 : 620,272,242.45 = 260,459,820.30 : x
  2. Step 2: Convert to fraction form
    413,514,828.30/620,272,242.45 = 260,459,820.30/x
  3. Step 3: Cross multiply
    413,514,828.30x = 620,272,242.45 × 260,459,820.30
  4. Step 4: Simplify right side
    413,514,828.30x = 161,555,996,805,605,056
  5. Step 5: Solve for x
    x = 161,555,996,805,605,056/413,514,828.30
  6. Step 6: Final answer
    x = 390,689,730.45

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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.