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Finding the Fourth Proportional to 503,529,275,862.30, 755,293,913,793.45 and 503,529,275,862.30

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Solution

The fourth proportional to 503,529,275,862.30, 755,293,913,793.45 and 503,529,275,862.30 is: 755,293,913,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,529,275,862.30 : 755,293,913,793.45 = 503,529,275,862.30 : x
  2. Step 2: Convert to fraction form
    503,529,275,862.30/755,293,913,793.45 = 503,529,275,862.30/x
  3. Step 3: Cross multiply
    503,529,275,862.30x = 755,293,913,793.45 × 503,529,275,862.30
  4. Step 4: Simplify right side
    503,529,275,862.30x = 380,312,597,475,618,264,711,168
  5. Step 5: Solve for x
    x = 380,312,597,475,618,264,711,168/503,529,275,862.30
  6. Step 6: Final answer
    x = 755,293,913,793.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.