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Finding the Fourth Proportional to 10,745,445,744,047, 16,118,168,616,074 and 10,745,445,744,047

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Solution

The fourth proportional to 10,745,445,744,047, 16,118,168,616,074 and 10,745,445,744,047 is: 16,118,168,616,074

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745,445,744,047 : 16,118,168,616,074 = 10,745,445,744,047 : x
  2. Step 2: Convert to fraction form
    10,745,445,744,047/16,118,168,616,074 = 10,745,445,744,047/x
  3. Step 3: Cross multiply
    10,745,445,744,047x = 16,118,168,616,074 × 10,745,445,744,047
  4. Step 4: Simplify right side
    10,745,445,744,047x = 173,196,906,357,424,280,756,551,680
  5. Step 5: Solve for x
    x = 173,196,906,357,424,280,756,551,680/10,745,445,744,047
  6. Step 6: Final answer
    x = 16,118,168,616,074

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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.