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Finding the Fourth Proportional to 9,098,972,442.90, 13,648,458,664.35 and 9,098,972,442.90

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Solution

The fourth proportional to 9,098,972,442.90, 13,648,458,664.35 and 9,098,972,442.90 is: 13,648,458,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098,972,442.90 : 13,648,458,664.35 = 9,098,972,442.90 : x
  2. Step 2: Convert to fraction form
    9,098,972,442.90/13,648,458,664.35 = 9,098,972,442.90/x
  3. Step 3: Cross multiply
    9,098,972,442.90x = 13,648,458,664.35 × 9,098,972,442.90
  4. Step 4: Simplify right side
    9,098,972,442.90x = 124,186,949,274,980,384,768
  5. Step 5: Solve for x
    x = 124,186,949,274,980,384,768/9,098,972,442.90
  6. Step 6: Final answer
    x = 13,648,458,664.35

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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.