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Finding the Fourth Proportional to 49,535,465,925.90, 69,545,562,706.50 and 49,535,465,925.90

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Solution

The fourth proportional to 49,535,465,925.90, 69,545,562,706.50 and 49,535,465,925.90 is: 69,545,562,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,535,465,925.90 : 69,545,562,706.50 = 49,535,465,925.90 : x
  2. Step 2: Convert to fraction form
    49,535,465,925.90/69,545,562,706.50 = 49,535,465,925.90/x
  3. Step 3: Cross multiply
    49,535,465,925.90x = 69,545,562,706.50 × 49,535,465,925.90
  4. Step 4: Simplify right side
    49,535,465,925.90x = 3,444,971,851,745,372,667,904
  5. Step 5: Solve for x
    x = 3,444,971,851,745,372,667,904/49,535,465,925.90
  6. Step 6: Final answer
    x = 69,545,562,706.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.