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Finding the Fourth Proportional to 102,148,611,205.20, 153,222,916,807.80 and 102,148,611,205.20

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Solution

The fourth proportional to 102,148,611,205.20, 153,222,916,807.80 and 102,148,611,205.20 is: 153,222,916,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,148,611,205.20 : 153,222,916,807.80 = 102,148,611,205.20 : x
  2. Step 2: Convert to fraction form
    102,148,611,205.20/153,222,916,807.80 = 102,148,611,205.20/x
  3. Step 3: Cross multiply
    102,148,611,205.20x = 153,222,916,807.80 × 102,148,611,205.20
  4. Step 4: Simplify right side
    102,148,611,205.20x = 15,651,508,156,726,664,757,248
  5. Step 5: Solve for x
    x = 15,651,508,156,726,664,757,248/102,148,611,205.20
  6. Step 6: Final answer
    x = 153,222,916,807.80

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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.