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Finding the Fourth Proportional to 864,561,009.76, 1,193,079,950.76 and 468,080,829.52

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Solution

The fourth proportional to 864,561,009.76, 1,193,079,950.76 and 468,080,829.52 is: 645,943,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,561,009.76 : 1,193,079,950.76 = 468,080,829.52 : x
  2. Step 2: Convert to fraction form
    864,561,009.76/1,193,079,950.76 = 468,080,829.52/x
  3. Step 3: Cross multiply
    864,561,009.76x = 1,193,079,950.76 × 468,080,829.52
  4. Step 4: Simplify right side
    864,561,009.76x = 558,457,853,035,421,504
  5. Step 5: Solve for x
    x = 558,457,853,035,421,504/864,561,009.76
  6. Step 6: Final answer
    x = 645,943,833.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.