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Finding the Fourth Proportional to 1,120,974,929.40, 1,681,462,394.10 and 1,120,974,929.40

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Solution

The fourth proportional to 1,120,974,929.40, 1,681,462,394.10 and 1,120,974,929.40 is: 1,681,462,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120,974,929.40 : 1,681,462,394.10 = 1,120,974,929.40 : x
  2. Step 2: Convert to fraction form
    1,120,974,929.40/1,681,462,394.10 = 1,120,974,929.40/x
  3. Step 3: Cross multiply
    1,120,974,929.40x = 1,681,462,394.10 × 1,120,974,929.40
  4. Step 4: Simplify right side
    1,120,974,929.40x = 1,884,877,188,515,002,624
  5. Step 5: Solve for x
    x = 1,884,877,188,515,002,624/1,120,974,929.40
  6. Step 6: Final answer
    x = 1,681,462,394.10

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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.