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Finding the Fourth Proportional to 1,157,644,123.98, 1,736,462,750.30 and 328,598,468.33

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Solution

The fourth proportional to 1,157,644,123.98, 1,736,462,750.30 and 328,598,468.33 is: 492,896,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,644,123.98 : 1,736,462,750.30 = 328,598,468.33 : x
  2. Step 2: Convert to fraction form
    1,157,644,123.98/1,736,462,750.30 = 328,598,468.33/x
  3. Step 3: Cross multiply
    1,157,644,123.98x = 1,736,462,750.30 × 328,598,468.33
  4. Step 4: Simplify right side
    1,157,644,123.98x = 570,599,000,051,569,792
  5. Step 5: Solve for x
    x = 570,599,000,051,569,792/1,157,644,123.98
  6. Step 6: Final answer
    x = 492,896,727.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.