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Finding the Fourth Proportional to 363,426,912,273.60, 545,140,368,410.40 and 363,426,912,273.60

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Solution

The fourth proportional to 363,426,912,273.60, 545,140,368,410.40 and 363,426,912,273.60 is: 545,140,368,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,426,912,273.60 : 545,140,368,410.40 = 363,426,912,273.60 : x
  2. Step 2: Convert to fraction form
    363,426,912,273.60/545,140,368,410.40 = 363,426,912,273.60/x
  3. Step 3: Cross multiply
    363,426,912,273.60x = 545,140,368,410.40 × 363,426,912,273.60
  4. Step 4: Simplify right side
    363,426,912,273.60x = 198,118,680,847,084,435,800,064
  5. Step 5: Solve for x
    x = 198,118,680,847,084,435,800,064/363,426,912,273.60
  6. Step 6: Final answer
    x = 545,140,368,410.40

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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.