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Finding the Fourth Proportional to 384,339,908.60, 576,509,862.90 and 177,077,918.60

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Solution

The fourth proportional to 384,339,908.60, 576,509,862.90 and 177,077,918.60 is: 265,616,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,339,908.60 : 576,509,862.90 = 177,077,918.60 : x
  2. Step 2: Convert to fraction form
    384,339,908.60/576,509,862.90 = 177,077,918.60/x
  3. Step 3: Cross multiply
    384,339,908.60x = 576,509,862.90 × 177,077,918.60
  4. Step 4: Simplify right side
    384,339,908.60x = 102,087,166,574,703,360
  5. Step 5: Solve for x
    x = 102,087,166,574,703,360/384,339,908.60
  6. Step 6: Final answer
    x = 265,616,877.90

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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.