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Finding the Fourth Proportional to 104,328,138,913.10, 156,492,208,369.65 and 104,328,138,913.10

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Solution

The fourth proportional to 104,328,138,913.10, 156,492,208,369.65 and 104,328,138,913.10 is: 156,492,208,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,328,138,913.10 : 156,492,208,369.65 = 104,328,138,913.10 : x
  2. Step 2: Convert to fraction form
    104,328,138,913.10/156,492,208,369.65 = 104,328,138,913.10/x
  3. Step 3: Cross multiply
    104,328,138,913.10x = 156,492,208,369.65 × 104,328,138,913.10
  4. Step 4: Simplify right side
    104,328,138,913.10x = 16,326,540,853,606,636,060,672
  5. Step 5: Solve for x
    x = 16,326,540,853,606,636,060,672/104,328,138,913.10
  6. Step 6: Final answer
    x = 156,492,208,369.65

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1.5x scale

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.