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Finding the Fourth Proportional to 1,196,117,869.03, 1,794,169,274.82 and 643,680,520.90

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Solution

The fourth proportional to 1,196,117,869.03, 1,794,169,274.82 and 643,680,520.90 is: 965,516,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,117,869.03 : 1,794,169,274.82 = 643,680,520.90 : x
  2. Step 2: Convert to fraction form
    1,196,117,869.03/1,794,169,274.82 = 643,680,520.90/x
  3. Step 3: Cross multiply
    1,196,117,869.03x = 1,794,169,274.82 × 643,680,520.90
  4. Step 4: Simplify right side
    1,196,117,869.03x = 1,154,871,813,398,912,768
  5. Step 5: Solve for x
    x = 1,154,871,813,398,912,768/1,196,117,869.03
  6. Step 6: Final answer
    x = 965,516,729.83

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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.