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Finding the Fourth Proportional to 242,646,543.80, 363,969,815.70 and 242,646,543.80

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Solution

The fourth proportional to 242,646,543.80, 363,969,815.70 and 242,646,543.80 is: 363,969,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,646,543.80 : 363,969,815.70 = 242,646,543.80 : x
  2. Step 2: Convert to fraction form
    242,646,543.80/363,969,815.70 = 242,646,543.80/x
  3. Step 3: Cross multiply
    242,646,543.80x = 363,969,815.70 × 242,646,543.80
  4. Step 4: Simplify right side
    242,646,543.80x = 88,316,017,827,127,984
  5. Step 5: Solve for x
    x = 88,316,017,827,127,984/242,646,543.80
  6. Step 6: Final answer
    x = 363,969,815.70

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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.