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Finding the Fourth Proportional to 107,264,772,308.30, 160,897,158,462.45 and 107,264,772,308.30

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Solution

The fourth proportional to 107,264,772,308.30, 160,897,158,462.45 and 107,264,772,308.30 is: 160,897,158,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,264,772,308.30 : 160,897,158,462.45 = 107,264,772,308.30 : x
  2. Step 2: Convert to fraction form
    107,264,772,308.30/160,897,158,462.45 = 107,264,772,308.30/x
  3. Step 3: Cross multiply
    107,264,772,308.30x = 160,897,158,462.45 × 107,264,772,308.30
  4. Step 4: Simplify right side
    107,264,772,308.30x = 17,258,597,067,527,165,050,880
  5. Step 5: Solve for x
    x = 17,258,597,067,527,165,050,880/107,264,772,308.30
  6. Step 6: Final answer
    x = 160,897,158,462.45

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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.