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Finding the Fourth Proportional to 243,990,865,793.10, 365,986,298,689.65 and 243,990,865,793.10

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Solution

The fourth proportional to 243,990,865,793.10, 365,986,298,689.65 and 243,990,865,793.10 is: 365,986,298,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,990,865,793.10 : 365,986,298,689.65 = 243,990,865,793.10 : x
  2. Step 2: Convert to fraction form
    243,990,865,793.10/365,986,298,689.65 = 243,990,865,793.10/x
  3. Step 3: Cross multiply
    243,990,865,793.10x = 365,986,298,689.65 × 243,990,865,793.10
  4. Step 4: Simplify right side
    243,990,865,793.10x = 89,297,313,885,699,811,835,904
  5. Step 5: Solve for x
    x = 89,297,313,885,699,811,835,904/243,990,865,793.10
  6. Step 6: Final answer
    x = 365,986,298,689.65

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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.