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Finding the Fourth Proportional to 128,715,696,563.10, 193,073,544,844.65 and 128,715,696,563.10

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Solution

The fourth proportional to 128,715,696,563.10, 193,073,544,844.65 and 128,715,696,563.10 is: 193,073,544,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,715,696,563.10 : 193,073,544,844.65 = 128,715,696,563.10 : x
  2. Step 2: Convert to fraction form
    128,715,696,563.10/193,073,544,844.65 = 128,715,696,563.10/x
  3. Step 3: Cross multiply
    128,715,696,563.10x = 193,073,544,844.65 × 128,715,696,563.10
  4. Step 4: Simplify right side
    128,715,696,563.10x = 24,851,595,812,586,051,862,528
  5. Step 5: Solve for x
    x = 24,851,595,812,586,051,862,528/128,715,696,563.10
  6. Step 6: Final answer
    x = 193,073,544,844.65

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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.