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Finding the Fourth Proportional to 896,781,798.12, 1,345,561,042.77 and 481,774,403.64

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Solution

The fourth proportional to 896,781,798.12, 1,345,561,042.77 and 481,774,403.64 is: 722,870,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,781,798.12 : 1,345,561,042.77 = 481,774,403.64 : x
  2. Step 2: Convert to fraction form
    896,781,798.12/1,345,561,042.77 = 481,774,403.64/x
  3. Step 3: Cross multiply
    896,781,798.12x = 1,345,561,042.77 × 481,774,403.64
  4. Step 4: Simplify right side
    896,781,798.12x = 648,256,868,941,733,248
  5. Step 5: Solve for x
    x = 648,256,868,941,733,248/896,781,798.12
  6. Step 6: Final answer
    x = 722,870,234.77

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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.