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Finding the Fourth Proportional to 32,458,266,507.60, 48,687,399,761.40 and 32,458,266,507.60

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Solution

The fourth proportional to 32,458,266,507.60, 48,687,399,761.40 and 32,458,266,507.60 is: 48,687,399,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,458,266,507.60 : 48,687,399,761.40 = 32,458,266,507.60 : x
  2. Step 2: Convert to fraction form
    32,458,266,507.60/48,687,399,761.40 = 32,458,266,507.60/x
  3. Step 3: Cross multiply
    32,458,266,507.60x = 48,687,399,761.40 × 32,458,266,507.60
  4. Step 4: Simplify right side
    32,458,266,507.60x = 1,580,308,597,017,581,715,456
  5. Step 5: Solve for x
    x = 1,580,308,597,017,581,715,456/32,458,266,507.60
  6. Step 6: Final answer
    x = 48,687,399,761.40

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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.