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Finding the Fourth Proportional to 57,405,823,265.60, 86,108,734,898.40 and 57,405,823,265.60

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Solution

The fourth proportional to 57,405,823,265.60, 86,108,734,898.40 and 57,405,823,265.60 is: 86,108,734,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,405,823,265.60 : 86,108,734,898.40 = 57,405,823,265.60 : x
  2. Step 2: Convert to fraction form
    57,405,823,265.60/86,108,734,898.40 = 57,405,823,265.60/x
  3. Step 3: Cross multiply
    57,405,823,265.60x = 86,108,734,898.40 × 57,405,823,265.60
  4. Step 4: Simplify right side
    57,405,823,265.60x = 4,943,142,817,201,952,653,312
  5. Step 5: Solve for x
    x = 4,943,142,817,201,952,653,312/57,405,823,265.60
  6. Step 6: Final answer
    x = 86,108,734,898.40

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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.