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Finding the Fourth Proportional to 3,838,744,055.70, 5,381,497,619.10 and 3,838,744,055.70

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Solution

The fourth proportional to 3,838,744,055.70, 5,381,497,619.10 and 3,838,744,055.70 is: 5,381,497,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,744,055.70 : 5,381,497,619.10 = 3,838,744,055.70 : x
  2. Step 2: Convert to fraction form
    3,838,744,055.70/5,381,497,619.10 = 3,838,744,055.70/x
  3. Step 3: Cross multiply
    3,838,744,055.70x = 5,381,497,619.10 × 3,838,744,055.70
  4. Step 4: Simplify right side
    3,838,744,055.70x = 20,658,191,996,083,826,688
  5. Step 5: Solve for x
    x = 20,658,191,996,083,826,688/3,838,744,055.70
  6. Step 6: Final answer
    x = 5,381,497,619.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.