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Finding the Fourth Proportional to 157,423,867,300.10, 236,135,800,950.12 and 157,423,867,300.10

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Solution

The fourth proportional to 157,423,867,300.10, 236,135,800,950.12 and 157,423,867,300.10 is: 236,135,800,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,423,867,300.10 : 236,135,800,950.12 = 157,423,867,300.10 : x
  2. Step 2: Convert to fraction form
    157,423,867,300.10/236,135,800,950.12 = 157,423,867,300.10/x
  3. Step 3: Cross multiply
    157,423,867,300.10x = 236,135,800,950.12 × 157,423,867,300.10
  4. Step 4: Simplify right side
    157,423,867,300.10x = 37,173,410,993,574,521,077,760
  5. Step 5: Solve for x
    x = 37,173,410,993,574,521,077,760/157,423,867,300.10
  6. Step 6: Final answer
    x = 236,135,800,950.12

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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.