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Finding the Fourth Proportional to 697,771,774.24, 962,931,505.50 and 384,517,198

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Solution

The fourth proportional to 697,771,774.24, 962,931,505.50 and 384,517,198 is: 530,637,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,771,774.24 : 962,931,505.50 = 384,517,198 : x
  2. Step 2: Convert to fraction form
    697,771,774.24/962,931,505.50 = 384,517,198/x
  3. Step 3: Cross multiply
    697,771,774.24x = 962,931,505.50 × 384,517,198
  4. Step 4: Simplify right side
    697,771,774.24x = 370,263,724,360,781,568
  5. Step 5: Solve for x
    x = 370,263,724,360,781,568/697,771,774.24
  6. Step 6: Final answer
    x = 530,637,291.49

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