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Finding the Fourth Proportional to 97,056,156,319.60, 145,584,234,479.40 and 97,056,156,319.60

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Solution

The fourth proportional to 97,056,156,319.60, 145,584,234,479.40 and 97,056,156,319.60 is: 145,584,234,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,056,156,319.60 : 145,584,234,479.40 = 97,056,156,319.60 : x
  2. Step 2: Convert to fraction form
    97,056,156,319.60/145,584,234,479.40 = 97,056,156,319.60/x
  3. Step 3: Cross multiply
    97,056,156,319.60x = 145,584,234,479.40 × 97,056,156,319.60
  4. Step 4: Simplify right side
    97,056,156,319.60x = 14,129,846,219,301,946,654,720
  5. Step 5: Solve for x
    x = 14,129,846,219,301,946,654,720/97,056,156,319.60
  6. Step 6: Final answer
    x = 145,584,234,479.40

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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.