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Finding the Fourth Proportional to 601,070,584,790.80, 901,605,877,186.20 and 601,070,584,790.80

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Solution

The fourth proportional to 601,070,584,790.80, 901,605,877,186.20 and 601,070,584,790.80 is: 901,605,877,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,070,584,790.80 : 901,605,877,186.20 = 601,070,584,790.80 : x
  2. Step 2: Convert to fraction form
    601,070,584,790.80/901,605,877,186.20 = 601,070,584,790.80/x
  3. Step 3: Cross multiply
    601,070,584,790.80x = 901,605,877,186.20 × 601,070,584,790.80
  4. Step 4: Simplify right side
    601,070,584,790.80x = 541,928,771,851,131,446,886,400
  5. Step 5: Solve for x
    x = 541,928,771,851,131,446,886,400/601,070,584,790.80
  6. Step 6: Final answer
    x = 901,605,877,186.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.