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Finding the Fourth Proportional to 1,375,258,082.40, 2,058,352,160.40 and 967,111,394.40

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Solution

The fourth proportional to 1,375,258,082.40, 2,058,352,160.40 and 967,111,394.40 is: 1,447,478,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,258,082.40 : 2,058,352,160.40 = 967,111,394.40 : x
  2. Step 2: Convert to fraction form
    1,375,258,082.40/2,058,352,160.40 = 967,111,394.40/x
  3. Step 3: Cross multiply
    1,375,258,082.40x = 2,058,352,160.40 × 967,111,394.40
  4. Step 4: Simplify right side
    1,375,258,082.40x = 1,990,655,828,010,696,448
  5. Step 5: Solve for x
    x = 1,990,655,828,010,696,448/1,375,258,082.40
  6. Step 6: Final answer
    x = 1,447,478,006.85

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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.