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Finding the Fourth Proportional to 386,102,969.40, 579,154,454.10 and 386,102,969.40

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Solution

The fourth proportional to 386,102,969.40, 579,154,454.10 and 386,102,969.40 is: 579,154,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,102,969.40 : 579,154,454.10 = 386,102,969.40 : x
  2. Step 2: Convert to fraction form
    386,102,969.40/579,154,454.10 = 386,102,969.40/x
  3. Step 3: Cross multiply
    386,102,969.40x = 579,154,454.10 × 386,102,969.40
  4. Step 4: Simplify right side
    386,102,969.40x = 223,613,254,469,245,984
  5. Step 5: Solve for x
    x = 223,613,254,469,245,984/386,102,969.40
  6. Step 6: Final answer
    x = 579,154,454.10

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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.