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Finding the Fourth Proportional to 408,498,733.52, 612,844,940.64 and 117,358,820

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Solution

The fourth proportional to 408,498,733.52, 612,844,940.64 and 117,358,820 is: 176,066,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,498,733.52 : 612,844,940.64 = 117,358,820 : x
  2. Step 2: Convert to fraction form
    408,498,733.52/612,844,940.64 = 117,358,820/x
  3. Step 3: Cross multiply
    408,498,733.52x = 612,844,940.64 × 117,358,820
  4. Step 4: Simplify right side
    408,498,733.52x = 71,922,759,076,480,440
  5. Step 5: Solve for x
    x = 71,922,759,076,480,440/408,498,733.52
  6. Step 6: Final answer
    x = 176,066,051.56

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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.