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Finding the Fourth Proportional to 968,806,972.10, 1,453,210,458.16 and 968,806,972.10

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Solution

The fourth proportional to 968,806,972.10, 1,453,210,458.16 and 968,806,972.10 is: 1,453,210,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,806,972.10 : 1,453,210,458.16 = 968,806,972.10 : x
  2. Step 2: Convert to fraction form
    968,806,972.10/1,453,210,458.16 = 968,806,972.10/x
  3. Step 3: Cross multiply
    968,806,972.10x = 1,453,210,458.16 × 968,806,972.10
  4. Step 4: Simplify right side
    968,806,972.10x = 1,407,880,423,794,043,392
  5. Step 5: Solve for x
    x = 1,407,880,423,794,043,392/968,806,972.10
  6. Step 6: Final answer
    x = 1,453,210,458.16

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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.