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Finding the Fourth Proportional to 4,686,711,766,027.20, 7,030,067,649,040.50 and 4,686,711,766,027.20

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Solution

The fourth proportional to 4,686,711,766,027.20, 7,030,067,649,040.50 and 4,686,711,766,027.20 is: 7,030,067,649,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686,711,766,027.20 : 7,030,067,649,040.50 = 4,686,711,766,027.20 : x
  2. Step 2: Convert to fraction form
    4,686,711,766,027.20/7,030,067,649,040.50 = 4,686,711,766,027.20/x
  3. Step 3: Cross multiply
    4,686,711,766,027.20x = 7,030,067,649,040.50 × 4,686,711,766,027.20
  4. Step 4: Simplify right side
    4,686,711,766,027.20x = 32,947,900,766,725,290,332,258,304
  5. Step 5: Solve for x
    x = 32,947,900,766,725,290,332,258,304/4,686,711,766,027.20
  6. Step 6: Final answer
    x = 7,030,067,649,040.50

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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.