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Finding the Fourth Proportional to 549,857,321,750.40, 824,785,982,625.60 and 549,857,321,750.40

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Solution

The fourth proportional to 549,857,321,750.40, 824,785,982,625.60 and 549,857,321,750.40 is: 824,785,982,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,857,321,750.40 : 824,785,982,625.60 = 549,857,321,750.40 : x
  2. Step 2: Convert to fraction form
    549,857,321,750.40/824,785,982,625.60 = 549,857,321,750.40/x
  3. Step 3: Cross multiply
    549,857,321,750.40x = 824,785,982,625.60 × 549,857,321,750.40
  4. Step 4: Simplify right side
    549,857,321,750.40x = 453,514,611,423,784,395,079,680
  5. Step 5: Solve for x
    x = 453,514,611,423,784,395,079,680/549,857,321,750.40
  6. Step 6: Final answer
    x = 824,785,982,625.60

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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.