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Finding the Fourth Proportional to 659,736,722.83, 910,411,733.68 and 366,400,186.51

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Solution

The fourth proportional to 659,736,722.83, 910,411,733.68 and 366,400,186.51 is: 505,618,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,736,722.83 : 910,411,733.68 = 366,400,186.51 : x
  2. Step 2: Convert to fraction form
    659,736,722.83/910,411,733.68 = 366,400,186.51/x
  3. Step 3: Cross multiply
    659,736,722.83x = 910,411,733.68 × 366,400,186.51
  4. Step 4: Simplify right side
    659,736,722.83x = 333,575,029,021,244,416
  5. Step 5: Solve for x
    x = 333,575,029,021,244,416/659,736,722.83
  6. Step 6: Final answer
    x = 505,618,404.25

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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.