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Finding the Fourth Proportional to 2,648,690,841,742.70, 3,973,036,262,614.10 and 2,648,690,841,742.70

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Solution

The fourth proportional to 2,648,690,841,742.70, 3,973,036,262,614.10 and 2,648,690,841,742.70 is: 3,973,036,262,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,690,841,742.70 : 3,973,036,262,614.10 = 2,648,690,841,742.70 : x
  2. Step 2: Convert to fraction form
    2,648,690,841,742.70/3,973,036,262,614.10 = 2,648,690,841,742.70/x
  3. Step 3: Cross multiply
    2,648,690,841,742.70x = 3,973,036,262,614.10 × 2,648,690,841,742.70
  4. Step 4: Simplify right side
    2,648,690,841,742.70x = 10,523,344,762,697,612,208,898,048
  5. Step 5: Solve for x
    x = 10,523,344,762,697,612,208,898,048/2,648,690,841,742.70
  6. Step 6: Final answer
    x = 3,973,036,262,614.10

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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.