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Finding the Fourth Proportional to 864,825,910.68, 1,193,453,814.06 and 468,339,827.16

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Solution

The fourth proportional to 864,825,910.68, 1,193,453,814.06 and 468,339,827.16 is: 646,305,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,825,910.68 : 1,193,453,814.06 = 468,339,827.16 : x
  2. Step 2: Convert to fraction form
    864,825,910.68/1,193,453,814.06 = 468,339,827.16/x
  3. Step 3: Cross multiply
    864,825,910.68x = 1,193,453,814.06 × 468,339,827.16
  4. Step 4: Simplify right side
    864,825,910.68x = 558,941,953,000,303,168
  5. Step 5: Solve for x
    x = 558,941,953,000,303,168/864,825,910.68
  6. Step 6: Final answer
    x = 646,305,743.27

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