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Finding the Fourth Proportional to 1,442,934,007.40, 2,164,401,011.10 and 1,442,934,007.40

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Solution

The fourth proportional to 1,442,934,007.40, 2,164,401,011.10 and 1,442,934,007.40 is: 2,164,401,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,934,007.40 : 2,164,401,011.10 = 1,442,934,007.40 : x
  2. Step 2: Convert to fraction form
    1,442,934,007.40/2,164,401,011.10 = 1,442,934,007.40/x
  3. Step 3: Cross multiply
    1,442,934,007.40x = 2,164,401,011.10 × 1,442,934,007.40
  4. Step 4: Simplify right side
    1,442,934,007.40x = 3,123,087,824,567,134,720
  5. Step 5: Solve for x
    x = 3,123,087,824,567,134,720/1,442,934,007.40
  6. Step 6: Final answer
    x = 2,164,401,011.10

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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.