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Finding the Fourth Proportional to 916,559,193.24, 1,264,959,390.96 and 514,738,978.56

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Solution

The fourth proportional to 916,559,193.24, 1,264,959,390.96 and 514,738,978.56 is: 710,400,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,559,193.24 : 1,264,959,390.96 = 514,738,978.56 : x
  2. Step 2: Convert to fraction form
    916,559,193.24/1,264,959,390.96 = 514,738,978.56/x
  3. Step 3: Cross multiply
    916,559,193.24x = 1,264,959,390.96 × 514,738,978.56
  4. Step 4: Simplify right side
    916,559,193.24x = 651,123,904,822,630,144
  5. Step 5: Solve for x
    x = 651,123,904,822,630,144/916,559,193.24
  6. Step 6: Final answer
    x = 710,400,277.06

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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.