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Finding the Fourth Proportional to 157,437,216,200.78, 236,155,824,301.15 and 157,437,216,200.78

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Solution

The fourth proportional to 157,437,216,200.78, 236,155,824,301.15 and 157,437,216,200.78 is: 236,155,824,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,437,216,200.78 : 236,155,824,301.15 = 157,437,216,200.78 : x
  2. Step 2: Convert to fraction form
    157,437,216,200.78/236,155,824,301.15 = 157,437,216,200.78/x
  3. Step 3: Cross multiply
    157,437,216,200.78x = 236,155,824,301.15 × 157,437,216,200.78
  4. Step 4: Simplify right side
    157,437,216,200.78x = 37,179,715,567,573,566,226,432
  5. Step 5: Solve for x
    x = 37,179,715,567,573,566,226,432/157,437,216,200.78
  6. Step 6: Final answer
    x = 236,155,824,301.15

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1.5x scale

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.