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Finding the Fourth Proportional to 237,971,844,328.60, 356,957,766,492.90 and 237,971,844,328.60

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Solution

The fourth proportional to 237,971,844,328.60, 356,957,766,492.90 and 237,971,844,328.60 is: 356,957,766,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,971,844,328.60 : 356,957,766,492.90 = 237,971,844,328.60 : x
  2. Step 2: Convert to fraction form
    237,971,844,328.60/356,957,766,492.90 = 237,971,844,328.60/x
  3. Step 3: Cross multiply
    237,971,844,328.60x = 356,957,766,492.90 × 237,971,844,328.60
  4. Step 4: Simplify right side
    237,971,844,328.60x = 84,945,898,039,733,162,868,736
  5. Step 5: Solve for x
    x = 84,945,898,039,733,162,868,736/237,971,844,328.60
  6. Step 6: Final answer
    x = 356,957,766,492.90

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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.