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Finding the Fourth Proportional to 1,010,394,154.45, 1,411,108,078.55 and 1,010,394,154.45

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Solution

The fourth proportional to 1,010,394,154.45, 1,411,108,078.55 and 1,010,394,154.45 is: 1,411,108,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,394,154.45 : 1,411,108,078.55 = 1,010,394,154.45 : x
  2. Step 2: Convert to fraction form
    1,010,394,154.45/1,411,108,078.55 = 1,010,394,154.45/x
  3. Step 3: Cross multiply
    1,010,394,154.45x = 1,411,108,078.55 × 1,010,394,154.45
  4. Step 4: Simplify right side
    1,010,394,154.45x = 1,425,775,353,864,091,392
  5. Step 5: Solve for x
    x = 1,425,775,353,864,091,392/1,010,394,154.45
  6. Step 6: Final answer
    x = 1,411,108,078.55

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1.5x scale

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.