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Finding the Fourth Proportional to 157,464,157.10, 220,676,568.10 and 157,464,157.10

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Solution

The fourth proportional to 157,464,157.10, 220,676,568.10 and 157,464,157.10 is: 220,676,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,464,157.10 : 220,676,568.10 = 157,464,157.10 : x
  2. Step 2: Convert to fraction form
    157,464,157.10/220,676,568.10 = 157,464,157.10/x
  3. Step 3: Cross multiply
    157,464,157.10x = 220,676,568.10 × 157,464,157.10
  4. Step 4: Simplify right side
    157,464,157.10x = 34,748,649,787,587,248
  5. Step 5: Solve for x
    x = 34,748,649,787,587,248/157,464,157.10
  6. Step 6: Final answer
    x = 220,676,568.10

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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.