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Finding the Fourth Proportional to 785,019,733.11, 1,083,334,396.05 and 432,608,368.32

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Solution

The fourth proportional to 785,019,733.11, 1,083,334,396.05 and 432,608,368.32 is: 597,003,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,019,733.11 : 1,083,334,396.05 = 432,608,368.32 : x
  2. Step 2: Convert to fraction form
    785,019,733.11/1,083,334,396.05 = 432,608,368.32/x
  3. Step 3: Cross multiply
    785,019,733.11x = 1,083,334,396.05 × 432,608,368.32
  4. Step 4: Simplify right side
    785,019,733.11x = 468,659,525,420,123,136
  5. Step 5: Solve for x
    x = 468,659,525,420,123,136/785,019,733.11
  6. Step 6: Final answer
    x = 597,003,496.41

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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.