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Finding the Fourth Proportional to 157,423,824,600.15, 236,135,736,900.23 and 157,423,824,600.15

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Solution

The fourth proportional to 157,423,824,600.15, 236,135,736,900.23 and 157,423,824,600.15 is: 236,135,736,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,423,824,600.15 : 236,135,736,900.23 = 157,423,824,600.15 : x
  2. Step 2: Convert to fraction form
    157,423,824,600.15/236,135,736,900.23 = 157,423,824,600.15/x
  3. Step 3: Cross multiply
    157,423,824,600.15x = 236,135,736,900.23 × 157,423,824,600.15
  4. Step 4: Simplify right side
    157,423,824,600.15x = 37,173,390,827,608,977,965,056
  5. Step 5: Solve for x
    x = 37,173,390,827,608,977,965,056/157,423,824,600.15
  6. Step 6: Final answer
    x = 236,135,736,900.23

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