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Finding the Fourth Proportional to 580,294,429.40, 869,874,773.70 and 519,072,426.20

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Solution

The fourth proportional to 580,294,429.40, 869,874,773.70 and 519,072,426.20 is: 778,101,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,294,429.40 : 869,874,773.70 = 519,072,426.20 : x
  2. Step 2: Convert to fraction form
    580,294,429.40/869,874,773.70 = 519,072,426.20/x
  3. Step 3: Cross multiply
    580,294,429.40x = 869,874,773.70 × 519,072,426.20
  4. Step 4: Simplify right side
    580,294,429.40x = 451,528,009,274,634,944
  5. Step 5: Solve for x
    x = 451,528,009,274,634,944/580,294,429.40
  6. Step 6: Final answer
    x = 778,101,574.65

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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.