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Finding the Fourth Proportional to 1,010,394,156.70, 1,411,108,081.70 and 1,010,394,156.70

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Solution

The fourth proportional to 1,010,394,156.70, 1,411,108,081.70 and 1,010,394,156.70 is: 1,411,108,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,394,156.70 : 1,411,108,081.70 = 1,010,394,156.70 : x
  2. Step 2: Convert to fraction form
    1,010,394,156.70/1,411,108,081.70 = 1,010,394,156.70/x
  3. Step 3: Cross multiply
    1,010,394,156.70x = 1,411,108,081.70 × 1,010,394,156.70
  4. Step 4: Simplify right side
    1,010,394,156.70x = 1,425,775,360,221,826,304
  5. Step 5: Solve for x
    x = 1,425,775,360,221,826,304/1,010,394,156.70
  6. Step 6: Final answer
    x = 1,411,108,081.70

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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.