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Finding the Fourth Proportional to 103,296,414,464.80, 154,699,733,684.40 and 103,296,414,464.80

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Solution

The fourth proportional to 103,296,414,464.80, 154,699,733,684.40 and 103,296,414,464.80 is: 154,699,733,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,296,414,464.80 : 154,699,733,684.40 = 103,296,414,464.80 : x
  2. Step 2: Convert to fraction form
    103,296,414,464.80/154,699,733,684.40 = 103,296,414,464.80/x
  3. Step 3: Cross multiply
    103,296,414,464.80x = 154,699,733,684.40 × 103,296,414,464.80
  4. Step 4: Simplify right side
    103,296,414,464.80x = 15,979,927,808,257,963,327,488
  5. Step 5: Solve for x
    x = 15,979,927,808,257,963,327,488/103,296,414,464.80
  6. Step 6: Final answer
    x = 154,699,733,684.40

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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.