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Finding the Fourth Proportional to 727,087,104,043.20, 1,090,630,656,064.80 and 727,087,104,043.20

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Solution

The fourth proportional to 727,087,104,043.20, 1,090,630,656,064.80 and 727,087,104,043.20 is: 1,090,630,656,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,087,104,043.20 : 1,090,630,656,064.80 = 727,087,104,043.20 : x
  2. Step 2: Convert to fraction form
    727,087,104,043.20/1,090,630,656,064.80 = 727,087,104,043.20/x
  3. Step 3: Cross multiply
    727,087,104,043.20x = 1,090,630,656,064.80 × 727,087,104,043.20
  4. Step 4: Simplify right side
    727,087,104,043.20x = 792,983,485,298,890,732,732,416
  5. Step 5: Solve for x
    x = 792,983,485,298,890,732,732,416/727,087,104,043.20
  6. Step 6: Final answer
    x = 1,090,630,656,064.80

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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.