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Finding the Fourth Proportional to 991,784,256.14, 1,487,891,617.83 and 301,673,573.97

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Solution

The fourth proportional to 991,784,256.14, 1,487,891,617.83 and 301,673,573.97 is: 452,575,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,784,256.14 : 1,487,891,617.83 = 301,673,573.97 : x
  2. Step 2: Convert to fraction form
    991,784,256.14/1,487,891,617.83 = 301,673,573.97/x
  3. Step 3: Cross multiply
    991,784,256.14x = 1,487,891,617.83 × 301,673,573.97
  4. Step 4: Simplify right side
    991,784,256.14x = 448,857,582,030,781,504
  5. Step 5: Solve for x
    x = 448,857,582,030,781,504/991,784,256.14
  6. Step 6: Final answer
    x = 452,575,829.12

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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.