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Finding the Fourth Proportional to 746,114,718.30, 1,117,019,741.40 and 746,114,718.30

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Solution

The fourth proportional to 746,114,718.30, 1,117,019,741.40 and 746,114,718.30 is: 1,117,019,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,114,718.30 : 1,117,019,741.40 = 746,114,718.30 : x
  2. Step 2: Convert to fraction form
    746,114,718.30/1,117,019,741.40 = 746,114,718.30/x
  3. Step 3: Cross multiply
    746,114,718.30x = 1,117,019,741.40 × 746,114,718.30
  4. Step 4: Simplify right side
    746,114,718.30x = 833,424,869,690,199,808
  5. Step 5: Solve for x
    x = 833,424,869,690,199,808/746,114,718.30
  6. Step 6: Final answer
    x = 1,117,019,741.40

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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.