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Finding the Fourth Proportional to 155,157,536,853.90, 232,736,305,280.85 and 155,157,536,853.90

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Solution

The fourth proportional to 155,157,536,853.90, 232,736,305,280.85 and 155,157,536,853.90 is: 232,736,305,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,157,536,853.90 : 232,736,305,280.85 = 155,157,536,853.90 : x
  2. Step 2: Convert to fraction form
    155,157,536,853.90/232,736,305,280.85 = 155,157,536,853.90/x
  3. Step 3: Cross multiply
    155,157,536,853.90x = 232,736,305,280.85 × 155,157,536,853.90
  4. Step 4: Simplify right side
    155,157,536,853.90x = 36,110,791,863,854,006,534,144
  5. Step 5: Solve for x
    x = 36,110,791,863,854,006,534,144/155,157,536,853.90
  6. Step 6: Final answer
    x = 232,736,305,280.85

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1.5x scale

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.