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Finding the Fourth Proportional to 286,969,716,002.70, 430,454,574,004.05 and 286,969,716,002.70

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Solution

The fourth proportional to 286,969,716,002.70, 430,454,574,004.05 and 286,969,716,002.70 is: 430,454,574,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,969,716,002.70 : 430,454,574,004.05 = 286,969,716,002.70 : x
  2. Step 2: Convert to fraction form
    286,969,716,002.70/430,454,574,004.05 = 286,969,716,002.70/x
  3. Step 3: Cross multiply
    286,969,716,002.70x = 430,454,574,004.05 × 286,969,716,002.70
  4. Step 4: Simplify right side
    286,969,716,002.70x = 123,527,426,854,005,441,036,288
  5. Step 5: Solve for x
    x = 123,527,426,854,005,441,036,288/286,969,716,002.70
  6. Step 6: Final answer
    x = 430,454,574,004.05

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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.