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Finding the Fourth Proportional to 3,024,119,575,974, 4,536,179,363,960.40 and 3,024,119,575,974

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Solution

The fourth proportional to 3,024,119,575,974, 4,536,179,363,960.40 and 3,024,119,575,974 is: 4,536,179,363,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024,119,575,974 : 4,536,179,363,960.40 = 3,024,119,575,974 : x
  2. Step 2: Convert to fraction form
    3,024,119,575,974/4,536,179,363,960.40 = 3,024,119,575,974/x
  3. Step 3: Cross multiply
    3,024,119,575,974x = 4,536,179,363,960.40 × 3,024,119,575,974
  4. Step 4: Simplify right side
    3,024,119,575,974x = 13,717,948,814,681,935,569,747,968
  5. Step 5: Solve for x
    x = 13,717,948,814,681,935,569,747,968/3,024,119,575,974
  6. Step 6: Final answer
    x = 4,536,179,363,960.40

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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.