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Finding the Fourth Proportional to 148,736,934.40, 223,105,401.60 and 148,736,934.40

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Solution

The fourth proportional to 148,736,934.40, 223,105,401.60 and 148,736,934.40 is: 223,105,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,736,934.40 : 223,105,401.60 = 148,736,934.40 : x
  2. Step 2: Convert to fraction form
    148,736,934.40/223,105,401.60 = 148,736,934.40/x
  3. Step 3: Cross multiply
    148,736,934.40x = 223,105,401.60 × 148,736,934.40
  4. Step 4: Simplify right side
    148,736,934.40x = 33,184,013,482,064,856
  5. Step 5: Solve for x
    x = 33,184,013,482,064,856/148,736,934.40
  6. Step 6: Final answer
    x = 223,105,401.60

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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.