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Finding the Fourth Proportional to 86,920,128,041.70, 130,380,192,062.55 and 86,920,128,041.70

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Solution

The fourth proportional to 86,920,128,041.70, 130,380,192,062.55 and 86,920,128,041.70 is: 130,380,192,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,920,128,041.70 : 130,380,192,062.55 = 86,920,128,041.70 : x
  2. Step 2: Convert to fraction form
    86,920,128,041.70/130,380,192,062.55 = 86,920,128,041.70/x
  3. Step 3: Cross multiply
    86,920,128,041.70x = 130,380,192,062.55 × 86,920,128,041.70
  4. Step 4: Simplify right side
    86,920,128,041.70x = 11,332,662,988,178,284,609,536
  5. Step 5: Solve for x
    x = 11,332,662,988,178,284,609,536/86,920,128,041.70
  6. Step 6: Final answer
    x = 130,380,192,062.55

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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.