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Finding the Fourth Proportional to 577,169,548.25, 796,472,638.16 and 312,845,866.16

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Solution

The fourth proportional to 577,169,548.25, 796,472,638.16 and 312,845,866.16 is: 431,715,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,169,548.25 : 796,472,638.16 = 312,845,866.16 : x
  2. Step 2: Convert to fraction form
    577,169,548.25/796,472,638.16 = 312,845,866.16/x
  3. Step 3: Cross multiply
    577,169,548.25x = 796,472,638.16 × 312,845,866.16
  4. Step 4: Simplify right side
    577,169,548.25x = 249,173,172,352,358,848
  5. Step 5: Solve for x
    x = 249,173,172,352,358,848/577,169,548.25
  6. Step 6: Final answer
    x = 431,715,729.13

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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.