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Finding the Fourth Proportional to 51,714,564,986.43, 77,571,847,479.64 and 51,714,564,986.43

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Solution

The fourth proportional to 51,714,564,986.43, 77,571,847,479.64 and 51,714,564,986.43 is: 77,571,847,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714,564,986.43 : 77,571,847,479.64 = 51,714,564,986.43 : x
  2. Step 2: Convert to fraction form
    51,714,564,986.43/77,571,847,479.64 = 51,714,564,986.43/x
  3. Step 3: Cross multiply
    51,714,564,986.43x = 77,571,847,479.64 × 51,714,564,986.43
  4. Step 4: Simplify right side
    51,714,564,986.43x = 4,011,594,347,602,891,505,664
  5. Step 5: Solve for x
    x = 4,011,594,347,602,891,505,664/51,714,564,986.43
  6. Step 6: Final answer
    x = 77,571,847,479.64

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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.