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Finding the Fourth Proportional to 97,989,399,105.60, 146,984,098,658.40 and 97,989,399,105.60

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Solution

The fourth proportional to 97,989,399,105.60, 146,984,098,658.40 and 97,989,399,105.60 is: 146,984,098,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,989,399,105.60 : 146,984,098,658.40 = 97,989,399,105.60 : x
  2. Step 2: Convert to fraction form
    97,989,399,105.60/146,984,098,658.40 = 97,989,399,105.60/x
  3. Step 3: Cross multiply
    97,989,399,105.60x = 146,984,098,658.40 × 97,989,399,105.60
  4. Step 4: Simplify right side
    97,989,399,105.60x = 14,402,883,505,614,844,067,840
  5. Step 5: Solve for x
    x = 14,402,883,505,614,844,067,840/97,989,399,105.60
  6. Step 6: Final answer
    x = 146,984,098,658.40

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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.