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Finding the Fourth Proportional to 15,997,482,005.20, 22,341,375,004.40 and 15,997,482,005.20

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Solution

The fourth proportional to 15,997,482,005.20, 22,341,375,004.40 and 15,997,482,005.20 is: 22,341,375,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997,482,005.20 : 22,341,375,004.40 = 15,997,482,005.20 : x
  2. Step 2: Convert to fraction form
    15,997,482,005.20/22,341,375,004.40 = 15,997,482,005.20/x
  3. Step 3: Cross multiply
    15,997,482,005.20x = 22,341,375,004.40 × 15,997,482,005.20
  4. Step 4: Simplify right side
    15,997,482,005.20x = 357,405,744,604,314,140,672
  5. Step 5: Solve for x
    x = 357,405,744,604,314,140,672/15,997,482,005.20
  6. Step 6: Final answer
    x = 22,341,375,004.40

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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.