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Finding the Fourth Proportional to 193,402,267,874.92, 290,103,401,812.39 and 193,402,267,874.92

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Solution

The fourth proportional to 193,402,267,874.92, 290,103,401,812.39 and 193,402,267,874.92 is: 290,103,401,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,402,267,874.92 : 290,103,401,812.39 = 193,402,267,874.92 : x
  2. Step 2: Convert to fraction form
    193,402,267,874.92/290,103,401,812.39 = 193,402,267,874.92/x
  3. Step 3: Cross multiply
    193,402,267,874.92x = 290,103,401,812.39 × 193,402,267,874.92
  4. Step 4: Simplify right side
    193,402,267,874.92x = 56,106,655,828,745,409,003,520
  5. Step 5: Solve for x
    x = 56,106,655,828,745,409,003,520/193,402,267,874.92
  6. Step 6: Final answer
    x = 290,103,401,812.39

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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.