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Finding the Fourth Proportional to 6,674,663,627.20, 9,363,878,254.40 and 6,674,663,627.20

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Solution

The fourth proportional to 6,674,663,627.20, 9,363,878,254.40 and 6,674,663,627.20 is: 9,363,878,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674,663,627.20 : 9,363,878,254.40 = 6,674,663,627.20 : x
  2. Step 2: Convert to fraction form
    6,674,663,627.20/9,363,878,254.40 = 6,674,663,627.20/x
  3. Step 3: Cross multiply
    6,674,663,627.20x = 9,363,878,254.40 × 6,674,663,627.20
  4. Step 4: Simplify right side
    6,674,663,627.20x = 62,500,737,594,172,702,720
  5. Step 5: Solve for x
    x = 62,500,737,594,172,702,720/6,674,663,627.20
  6. Step 6: Final answer
    x = 9,363,878,254.40

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Double scale
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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.