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Finding the Fourth Proportional to 6,633,181,770,565.60, 9,949,772,655,848.40 and 6,633,181,770,565.60

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Solution

The fourth proportional to 6,633,181,770,565.60, 9,949,772,655,848.40 and 6,633,181,770,565.60 is: 9,949,772,655,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633,181,770,565.60 : 9,949,772,655,848.40 = 6,633,181,770,565.60 : x
  2. Step 2: Convert to fraction form
    6,633,181,770,565.60/9,949,772,655,848.40 = 6,633,181,770,565.60/x
  3. Step 3: Cross multiply
    6,633,181,770,565.60x = 9,949,772,655,848.40 × 6,633,181,770,565.60
  4. Step 4: Simplify right side
    6,633,181,770,565.60x = 65,998,650,602,045,680,140,681,216
  5. Step 5: Solve for x
    x = 65,998,650,602,045,680,140,681,216/6,633,181,770,565.60
  6. Step 6: Final answer
    x = 9,949,772,655,848.40

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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.