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Finding the Fourth Proportional to 16,051,842,823.70, 24,077,764,235.55 and 16,051,842,823.70

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Solution

The fourth proportional to 16,051,842,823.70, 24,077,764,235.55 and 16,051,842,823.70 is: 24,077,764,235.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051,842,823.70 : 24,077,764,235.55 = 16,051,842,823.70 : x
  2. Step 2: Convert to fraction form
    16,051,842,823.70/24,077,764,235.55 = 16,051,842,823.70/x
  3. Step 3: Cross multiply
    16,051,842,823.70x = 24,077,764,235.55 × 16,051,842,823.70
  4. Step 4: Simplify right side
    16,051,842,823.70x = 386,492,487,055,153,758,208
  5. Step 5: Solve for x
    x = 386,492,487,055,153,758,208/16,051,842,823.70
  6. Step 6: Final answer
    x = 24,077,764,235.55

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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.