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Finding the Fourth Proportional to 869,674,535.04, 1,302,865,838.72 and 514,084,235.14

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Solution

The fourth proportional to 869,674,535.04, 1,302,865,838.72 and 514,084,235.14 is: 770,153,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,674,535.04 : 1,302,865,838.72 = 514,084,235.14 : x
  2. Step 2: Convert to fraction form
    869,674,535.04/1,302,865,838.72 = 514,084,235.14/x
  3. Step 3: Cross multiply
    869,674,535.04x = 1,302,865,838.72 × 514,084,235.14
  4. Step 4: Simplify right side
    869,674,535.04x = 669,782,788,188,405,760
  5. Step 5: Solve for x
    x = 669,782,788,188,405,760/869,674,535.04
  6. Step 6: Final answer
    x = 770,153,386.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.