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Finding the Fourth Proportional to 129,971,693,205.45, 194,957,539,808.17 and 129,971,693,205.45

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Solution

The fourth proportional to 129,971,693,205.45, 194,957,539,808.17 and 129,971,693,205.45 is: 194,957,539,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,971,693,205.45 : 194,957,539,808.17 = 129,971,693,205.45 : x
  2. Step 2: Convert to fraction form
    129,971,693,205.45/194,957,539,808.17 = 129,971,693,205.45/x
  3. Step 3: Cross multiply
    129,971,693,205.45x = 194,957,539,808.17 × 129,971,693,205.45
  4. Step 4: Simplify right side
    129,971,693,205.45x = 25,338,961,552,036,776,116,224
  5. Step 5: Solve for x
    x = 25,338,961,552,036,776,116,224/129,971,693,205.45
  6. Step 6: Final answer
    x = 194,957,539,808.17

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Double scale
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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.