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Finding the Fourth Proportional to 6,674,663,624.70, 9,363,878,250.90 and 6,674,663,624.70

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Solution

The fourth proportional to 6,674,663,624.70, 9,363,878,250.90 and 6,674,663,624.70 is: 9,363,878,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674,663,624.70 : 9,363,878,250.90 = 6,674,663,624.70 : x
  2. Step 2: Convert to fraction form
    6,674,663,624.70/9,363,878,250.90 = 6,674,663,624.70/x
  3. Step 3: Cross multiply
    6,674,663,624.70x = 9,363,878,250.90 × 6,674,663,624.70
  4. Step 4: Simplify right side
    6,674,663,624.70x = 62,500,737,547,401,682,944
  5. Step 5: Solve for x
    x = 62,500,737,547,401,682,944/6,674,663,624.70
  6. Step 6: Final answer
    x = 9,363,878,250.90

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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.