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Finding the Fourth Proportional to 869,674,736.08, 1,302,866,138.76 and 514,084,435.84

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Solution

The fourth proportional to 869,674,736.08, 1,302,866,138.76 and 514,084,435.84 is: 770,153,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,674,736.08 : 1,302,866,138.76 = 514,084,435.84 : x
  2. Step 2: Convert to fraction form
    869,674,736.08/1,302,866,138.76 = 514,084,435.84/x
  3. Step 3: Cross multiply
    869,674,736.08x = 1,302,866,138.76 × 514,084,435.84
  4. Step 4: Simplify right side
    869,674,736.08x = 669,783,203,919,473,664
  5. Step 5: Solve for x
    x = 669,783,203,919,473,664/869,674,736.08
  6. Step 6: Final answer
    x = 770,153,686.35

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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.