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Finding the Fourth Proportional to 49,023,806,657.60, 73,535,709,986.40 and 49,023,806,657.60

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Solution

The fourth proportional to 49,023,806,657.60, 73,535,709,986.40 and 49,023,806,657.60 is: 73,535,709,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,023,806,657.60 : 73,535,709,986.40 = 49,023,806,657.60 : x
  2. Step 2: Convert to fraction form
    49,023,806,657.60/73,535,709,986.40 = 49,023,806,657.60/x
  3. Step 3: Cross multiply
    49,023,806,657.60x = 73,535,709,986.40 × 49,023,806,657.60
  4. Step 4: Simplify right side
    49,023,806,657.60x = 3,605,000,428,802,618,687,488
  5. Step 5: Solve for x
    x = 3,605,000,428,802,618,687,488/49,023,806,657.60
  6. Step 6: Final answer
    x = 73,535,709,986.40

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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.