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Finding the Fourth Proportional to 276,382,567,643.40, 414,573,851,465.10 and 276,382,567,643.40

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Solution

The fourth proportional to 276,382,567,643.40, 414,573,851,465.10 and 276,382,567,643.40 is: 414,573,851,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,382,567,643.40 : 414,573,851,465.10 = 276,382,567,643.40 : x
  2. Step 2: Convert to fraction form
    276,382,567,643.40/414,573,851,465.10 = 276,382,567,643.40/x
  3. Step 3: Cross multiply
    276,382,567,643.40x = 414,573,851,465.10 × 276,382,567,643.40
  4. Step 4: Simplify right side
    276,382,567,643.40x = 114,580,985,545,737,862,381,568
  5. Step 5: Solve for x
    x = 114,580,985,545,737,862,381,568/276,382,567,643.40
  6. Step 6: Final answer
    x = 414,573,851,465.10

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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.