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Finding the Fourth Proportional to 30,168,208,049.10, 45,252,312,073.65 and 30,168,208,049.10

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Solution

The fourth proportional to 30,168,208,049.10, 45,252,312,073.65 and 30,168,208,049.10 is: 45,252,312,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168,208,049.10 : 45,252,312,073.65 = 30,168,208,049.10 : x
  2. Step 2: Convert to fraction form
    30,168,208,049.10/45,252,312,073.65 = 30,168,208,049.10/x
  3. Step 3: Cross multiply
    30,168,208,049.10x = 45,252,312,073.65 × 30,168,208,049.10
  4. Step 4: Simplify right side
    30,168,208,049.10x = 1,365,181,165,340,672,917,504
  5. Step 5: Solve for x
    x = 1,365,181,165,340,672,917,504/30,168,208,049.10
  6. Step 6: Final answer
    x = 45,252,312,073.65

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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.