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Finding the Fourth Proportional to 659,736,721.83, 910,411,732.31 and 366,400,185.51

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Solution

The fourth proportional to 659,736,721.83, 910,411,732.31 and 366,400,185.51 is: 505,618,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,736,721.83 : 910,411,732.31 = 366,400,185.51 : x
  2. Step 2: Convert to fraction form
    659,736,721.83/910,411,732.31 = 366,400,185.51/x
  3. Step 3: Cross multiply
    659,736,721.83x = 910,411,732.31 × 366,400,185.51
  4. Step 4: Simplify right side
    659,736,721.83x = 333,575,027,607,032,448
  5. Step 5: Solve for x
    x = 333,575,027,607,032,448/659,736,721.83
  6. Step 6: Final answer
    x = 505,618,402.87

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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.