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Finding the Fourth Proportional to 157,224,173,903.20, 235,836,260,854.80 and 157,224,173,903.20

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Solution

The fourth proportional to 157,224,173,903.20, 235,836,260,854.80 and 157,224,173,903.20 is: 235,836,260,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224,173,903.20 : 235,836,260,854.80 = 157,224,173,903.20 : x
  2. Step 2: Convert to fraction form
    157,224,173,903.20/235,836,260,854.80 = 157,224,173,903.20/x
  3. Step 3: Cross multiply
    157,224,173,903.20x = 235,836,260,854.80 × 157,224,173,903.20
  4. Step 4: Simplify right side
    157,224,173,903.20x = 37,079,161,289,315,513,794,560
  5. Step 5: Solve for x
    x = 37,079,161,289,315,513,794,560/157,224,173,903.20
  6. Step 6: Final answer
    x = 235,836,260,854.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.