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Finding the Fourth Proportional to 601,070,567,277.80, 901,605,850,916.75 and 601,070,567,277.80

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Solution

The fourth proportional to 601,070,567,277.80, 901,605,850,916.75 and 601,070,567,277.80 is: 901,605,850,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,070,567,277.80 : 901,605,850,916.75 = 601,070,567,277.80 : x
  2. Step 2: Convert to fraction form
    601,070,567,277.80/901,605,850,916.75 = 601,070,567,277.80/x
  3. Step 3: Cross multiply
    601,070,567,277.80x = 901,605,850,916.75 × 601,070,567,277.80
  4. Step 4: Simplify right side
    601,070,567,277.80x = 541,928,740,271,514,537,951,232
  5. Step 5: Solve for x
    x = 541,928,740,271,514,537,951,232/601,070,567,277.80
  6. Step 6: Final answer
    x = 901,605,850,916.75

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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.