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Finding the Fourth Proportional to 570,275,109.84, 786,844,768.32 and 322,756,464

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Solution

The fourth proportional to 570,275,109.84, 786,844,768.32 and 322,756,464 is: 445,327,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,275,109.84 : 786,844,768.32 = 322,756,464 : x
  2. Step 2: Convert to fraction form
    570,275,109.84/786,844,768.32 = 322,756,464/x
  3. Step 3: Cross multiply
    570,275,109.84x = 786,844,768.32 × 322,756,464
  4. Step 4: Simplify right side
    570,275,109.84x = 253,959,235,139,862,432
  5. Step 5: Solve for x
    x = 253,959,235,139,862,432/570,275,109.84
  6. Step 6: Final answer
    x = 445,327,580.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.