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Finding the Fourth Proportional to 514,279,967.66, 709,694,284.32 and 302,600,508.58

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Solution

The fourth proportional to 514,279,967.66, 709,694,284.32 and 302,600,508.58 is: 417,581,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,279,967.66 : 709,694,284.32 = 302,600,508.58 : x
  2. Step 2: Convert to fraction form
    514,279,967.66/709,694,284.32 = 302,600,508.58/x
  3. Step 3: Cross multiply
    514,279,967.66x = 709,694,284.32 × 302,600,508.58
  4. Step 4: Simplify right side
    514,279,967.66x = 214,753,851,371,551,136
  5. Step 5: Solve for x
    x = 214,753,851,371,551,136/514,279,967.66
  6. Step 6: Final answer
    x = 417,581,599.28

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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.