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Finding the Fourth Proportional to 758,238,076.30, 1,137,357,114.45 and 758,238,076.30

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Solution

The fourth proportional to 758,238,076.30, 1,137,357,114.45 and 758,238,076.30 is: 1,137,357,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,238,076.30 : 1,137,357,114.45 = 758,238,076.30 : x
  2. Step 2: Convert to fraction form
    758,238,076.30/1,137,357,114.45 = 758,238,076.30/x
  3. Step 3: Cross multiply
    758,238,076.30x = 1,137,357,114.45 × 758,238,076.30
  4. Step 4: Simplify right side
    758,238,076.30x = 862,387,470,526,686,976
  5. Step 5: Solve for x
    x = 862,387,470,526,686,976/758,238,076.30
  6. Step 6: Final answer
    x = 1,137,357,114.45

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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.