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Finding the Fourth Proportional to 947,762,359.80, 1,419,092,622.90 and 947,762,359.80

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Solution

The fourth proportional to 947,762,359.80, 1,419,092,622.90 and 947,762,359.80 is: 1,419,092,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,762,359.80 : 1,419,092,622.90 = 947,762,359.80 : x
  2. Step 2: Convert to fraction form
    947,762,359.80/1,419,092,622.90 = 947,762,359.80/x
  3. Step 3: Cross multiply
    947,762,359.80x = 1,419,092,622.90 × 947,762,359.80
  4. Step 4: Simplify right side
    947,762,359.80x = 1,344,962,573,054,475,520
  5. Step 5: Solve for x
    x = 1,344,962,573,054,475,520/947,762,359.80
  6. Step 6: Final answer
    x = 1,419,092,622.90

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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.