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Finding the Fourth Proportional to 109,910,574,903.70, 164,865,862,355.55 and 109,910,574,903.70

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Solution

The fourth proportional to 109,910,574,903.70, 164,865,862,355.55 and 109,910,574,903.70 is: 164,865,862,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,910,574,903.70 : 164,865,862,355.55 = 109,910,574,903.70 : x
  2. Step 2: Convert to fraction form
    109,910,574,903.70/164,865,862,355.55 = 109,910,574,903.70/x
  3. Step 3: Cross multiply
    109,910,574,903.70x = 164,865,862,355.55 × 109,910,574,903.70
  4. Step 4: Simplify right side
    109,910,574,903.70x = 18,120,501,713,492,770,816,000
  5. Step 5: Solve for x
    x = 18,120,501,713,492,770,816,000/109,910,574,903.70
  6. Step 6: Final answer
    x = 164,865,862,355.55

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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.