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Finding the Fourth Proportional to 530,462,319.69, 726,736,012.16 and 510,580,862.76

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Solution

The fourth proportional to 530,462,319.69, 726,736,012.16 and 510,580,862.76 is: 699,498,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,462,319.69 : 726,736,012.16 = 510,580,862.76 : x
  2. Step 2: Convert to fraction form
    530,462,319.69/726,736,012.16 = 510,580,862.76/x
  3. Step 3: Cross multiply
    530,462,319.69x = 726,736,012.16 × 510,580,862.76
  4. Step 4: Simplify right side
    530,462,319.69x = 371,057,500,084,861,696
  5. Step 5: Solve for x
    x = 371,057,500,084,861,696/530,462,319.69
  6. Step 6: Final answer
    x = 699,498,317.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.