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Finding the Fourth Proportional to 601,070,584,789.80, 901,605,877,184.70 and 601,070,584,789.80

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Solution

The fourth proportional to 601,070,584,789.80, 901,605,877,184.70 and 601,070,584,789.80 is: 901,605,877,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,070,584,789.80 : 901,605,877,184.70 = 601,070,584,789.80 : x
  2. Step 2: Convert to fraction form
    601,070,584,789.80/901,605,877,184.70 = 601,070,584,789.80/x
  3. Step 3: Cross multiply
    601,070,584,789.80x = 901,605,877,184.70 × 601,070,584,789.80
  4. Step 4: Simplify right side
    601,070,584,789.80x = 541,928,771,849,328,231,710,720
  5. Step 5: Solve for x
    x = 541,928,771,849,328,231,710,720/601,070,584,789.80
  6. Step 6: Final answer
    x = 901,605,877,184.70

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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.