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Finding the Fourth Proportional to 1,411,289,082.06, 1,947,822,707 and 816,901,294.42

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Solution

The fourth proportional to 1,411,289,082.06, 1,947,822,707 and 816,901,294.42 is: 1,127,464,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,289,082.06 : 1,947,822,707 = 816,901,294.42 : x
  2. Step 2: Convert to fraction form
    1,411,289,082.06/1,947,822,707 = 816,901,294.42/x
  3. Step 3: Cross multiply
    1,411,289,082.06x = 1,947,822,707 × 816,901,294.42
  4. Step 4: Simplify right side
    1,411,289,082.06x = 1,591,178,890,648,968,192
  5. Step 5: Solve for x
    x = 1,591,178,890,648,968,192/1,411,289,082.06
  6. Step 6: Final answer
    x = 1,127,464,890.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.