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Finding the Fourth Proportional to 664,298,045.48, 996,447,068.22 and 664,298,045.48

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Solution

The fourth proportional to 664,298,045.48, 996,447,068.22 and 664,298,045.48 is: 996,447,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,298,045.48 : 996,447,068.22 = 664,298,045.48 : x
  2. Step 2: Convert to fraction form
    664,298,045.48/996,447,068.22 = 664,298,045.48/x
  3. Step 3: Cross multiply
    664,298,045.48x = 996,447,068.22 × 664,298,045.48
  4. Step 4: Simplify right side
    664,298,045.48x = 661,937,839,837,840,000
  5. Step 5: Solve for x
    x = 661,937,839,837,840,000/664,298,045.48
  6. Step 6: Final answer
    x = 996,447,068.22

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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.