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Finding the Fourth Proportional to 157,423,867,298.21, 236,135,800,947.30 and 157,423,867,298.21

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Solution

The fourth proportional to 157,423,867,298.21, 236,135,800,947.30 and 157,423,867,298.21 is: 236,135,800,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,423,867,298.21 : 236,135,800,947.30 = 157,423,867,298.21 : x
  2. Step 2: Convert to fraction form
    157,423,867,298.21/236,135,800,947.30 = 157,423,867,298.21/x
  3. Step 3: Cross multiply
    157,423,867,298.21x = 236,135,800,947.30 × 157,423,867,298.21
  4. Step 4: Simplify right side
    157,423,867,298.21x = 37,173,410,992,684,284,248,064
  5. Step 5: Solve for x
    x = 37,173,410,992,684,284,248,064/157,423,867,298.21
  6. Step 6: Final answer
    x = 236,135,800,947.30

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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.