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Finding the Fourth Proportional to 577,773,024.49, 797,328,302.82 and 313,455,009.31

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Solution

The fourth proportional to 577,773,024.49, 797,328,302.82 and 313,455,009.31 is: 432,568,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,773,024.49 : 797,328,302.82 = 313,455,009.31 : x
  2. Step 2: Convert to fraction form
    577,773,024.49/797,328,302.82 = 313,455,009.31/x
  3. Step 3: Cross multiply
    577,773,024.49x = 797,328,302.82 × 313,455,009.31
  4. Step 4: Simplify right side
    577,773,024.49x = 249,926,550,579,582,976
  5. Step 5: Solve for x
    x = 249,926,550,579,582,976/577,773,024.49
  6. Step 6: Final answer
    x = 432,568,742.37

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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.