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Finding the Fourth Proportional to 601,221,546,064.80, 901,832,319,097.20 and 601,221,546,064.80

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Solution

The fourth proportional to 601,221,546,064.80, 901,832,319,097.20 and 601,221,546,064.80 is: 901,832,319,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,221,546,064.80 : 901,832,319,097.20 = 601,221,546,064.80 : x
  2. Step 2: Convert to fraction form
    601,221,546,064.80/901,832,319,097.20 = 601,221,546,064.80/x
  3. Step 3: Cross multiply
    601,221,546,064.80x = 901,832,319,097.20 × 601,221,546,064.80
  4. Step 4: Simplify right side
    601,221,546,064.80x = 542,201,021,178,822,631,882,752
  5. Step 5: Solve for x
    x = 542,201,021,178,822,631,882,752/601,221,546,064.80
  6. Step 6: Final answer
    x = 901,832,319,097.20

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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.