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Finding the Fourth Proportional to 4,960,693,983,613.60, 7,441,040,975,420.40 and 4,960,693,983,613.60

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Solution

The fourth proportional to 4,960,693,983,613.60, 7,441,040,975,420.40 and 4,960,693,983,613.60 is: 7,441,040,975,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960,693,983,613.60 : 7,441,040,975,420.40 = 4,960,693,983,613.60 : x
  2. Step 2: Convert to fraction form
    4,960,693,983,613.60/7,441,040,975,420.40 = 4,960,693,983,613.60/x
  3. Step 3: Cross multiply
    4,960,693,983,613.60x = 7,441,040,975,420.40 × 4,960,693,983,613.60
  4. Step 4: Simplify right side
    4,960,693,983,613.60x = 36,912,727,198,590,250,703,126,528
  5. Step 5: Solve for x
    x = 36,912,727,198,590,250,703,126,528/4,960,693,983,613.60
  6. Step 6: Final answer
    x = 7,441,040,975,420.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.