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Finding the Fourth Proportional to 832,789,891.76, 1,149,262,619.16 and 456,443,468.40

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Solution

The fourth proportional to 832,789,891.76, 1,149,262,619.16 and 456,443,468.40 is: 629,898,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,789,891.76 : 1,149,262,619.16 = 456,443,468.40 : x
  2. Step 2: Convert to fraction form
    832,789,891.76/1,149,262,619.16 = 456,443,468.40/x
  3. Step 3: Cross multiply
    832,789,891.76x = 1,149,262,619.16 × 456,443,468.40
  4. Step 4: Simplify right side
    832,789,891.76x = 524,573,415,991,858,688
  5. Step 5: Solve for x
    x = 524,573,415,991,858,688/832,789,891.76
  6. Step 6: Final answer
    x = 629,898,875.07

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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.