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Finding the Fourth Proportional to 10,067,618,313,947, 15,101,427,470,920 and 10,067,618,313,947

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Solution

The fourth proportional to 10,067,618,313,947, 15,101,427,470,920 and 10,067,618,313,947 is: 15,101,427,470,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067,618,313,947 : 15,101,427,470,920 = 10,067,618,313,947 : x
  2. Step 2: Convert to fraction form
    10,067,618,313,947/15,101,427,470,920 = 10,067,618,313,947/x
  3. Step 3: Cross multiply
    10,067,618,313,947x = 15,101,427,470,920 × 10,067,618,313,947
  4. Step 4: Simplify right side
    10,067,618,313,947x = 152,035,407,772,976,516,406,706,176
  5. Step 5: Solve for x
    x = 152,035,407,772,976,516,406,706,176/10,067,618,313,947
  6. Step 6: Final answer
    x = 15,101,427,470,920

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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.