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Finding the Fourth Proportional to 859,628,620.10, 1,286,466,860.55 and 514,829,699.30

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Solution

The fourth proportional to 859,628,620.10, 1,286,466,860.55 and 514,829,699.30 is: 770,462,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,628,620.10 : 1,286,466,860.55 = 514,829,699.30 : x
  2. Step 2: Convert to fraction form
    859,628,620.10/1,286,466,860.55 = 514,829,699.30/x
  3. Step 3: Cross multiply
    859,628,620.10x = 1,286,466,860.55 × 514,829,699.30
  4. Step 4: Simplify right side
    859,628,620.10x = 662,311,346,976,371,584
  5. Step 5: Solve for x
    x = 662,311,346,976,371,584/859,628,620.10
  6. Step 6: Final answer
    x = 770,462,187.38

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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.