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Finding the Fourth Proportional to 68,401,908,005.10, 102,602,862,007.65 and 68,401,908,005.10

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Solution

The fourth proportional to 68,401,908,005.10, 102,602,862,007.65 and 68,401,908,005.10 is: 102,602,862,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,401,908,005.10 : 102,602,862,007.65 = 68,401,908,005.10 : x
  2. Step 2: Convert to fraction form
    68,401,908,005.10/102,602,862,007.65 = 68,401,908,005.10/x
  3. Step 3: Cross multiply
    68,401,908,005.10x = 102,602,862,007.65 × 68,401,908,005.10
  4. Step 4: Simplify right side
    68,401,908,005.10x = 7,018,231,528,107,244,781,568
  5. Step 5: Solve for x
    x = 7,018,231,528,107,244,781,568/68,401,908,005.10
  6. Step 6: Final answer
    x = 102,602,862,007.65

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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.