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Finding the Fourth Proportional to 286,969,823,999.40, 430,454,735,999.10 and 286,969,823,999.40

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Solution

The fourth proportional to 286,969,823,999.40, 430,454,735,999.10 and 286,969,823,999.40 is: 430,454,735,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,969,823,999.40 : 430,454,735,999.10 = 286,969,823,999.40 : x
  2. Step 2: Convert to fraction form
    286,969,823,999.40/430,454,735,999.10 = 286,969,823,999.40/x
  3. Step 3: Cross multiply
    286,969,823,999.40x = 430,454,735,999.10 × 286,969,823,999.40
  4. Step 4: Simplify right side
    286,969,823,999.40x = 123,527,519,829,369,926,189,056
  5. Step 5: Solve for x
    x = 123,527,519,829,369,926,189,056/286,969,823,999.40
  6. Step 6: Final answer
    x = 430,454,735,999.10

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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.