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Finding the Fourth Proportional to 3,147,336,000.40, 4,412,720,126 and 3,147,336,000.40

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Solution

The fourth proportional to 3,147,336,000.40, 4,412,720,126 and 3,147,336,000.40 is: 4,412,720,126

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147,336,000.40 : 4,412,720,126 = 3,147,336,000.40 : x
  2. Step 2: Convert to fraction form
    3,147,336,000.40/4,412,720,126 = 3,147,336,000.40/x
  3. Step 3: Cross multiply
    3,147,336,000.40x = 4,412,720,126 × 3,147,336,000.40
  4. Step 4: Simplify right side
    3,147,336,000.40x = 13,888,312,912,249,423,872
  5. Step 5: Solve for x
    x = 13,888,312,912,249,423,872/3,147,336,000.40
  6. Step 6: Final answer
    x = 4,412,720,126

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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.