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Finding the Fourth Proportional to 156,970,656,027.60, 235,455,984,041.40 and 156,970,656,027.60

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Solution

The fourth proportional to 156,970,656,027.60, 235,455,984,041.40 and 156,970,656,027.60 is: 235,455,984,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970,656,027.60 : 235,455,984,041.40 = 156,970,656,027.60 : x
  2. Step 2: Convert to fraction form
    156,970,656,027.60/235,455,984,041.40 = 156,970,656,027.60/x
  3. Step 3: Cross multiply
    156,970,656,027.60x = 235,455,984,041.40 × 156,970,656,027.60
  4. Step 4: Simplify right side
    156,970,656,027.60x = 36,959,680,280,602,676,822,016
  5. Step 5: Solve for x
    x = 36,959,680,280,602,676,822,016/156,970,656,027.60
  6. Step 6: Final answer
    x = 235,455,984,041.40

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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.