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Finding the Fourth Proportional to 945,822,643.40, 1,418,733,965.10 and 945,822,643.40

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Solution

The fourth proportional to 945,822,643.40, 1,418,733,965.10 and 945,822,643.40 is: 1,418,733,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,822,643.40 : 1,418,733,965.10 = 945,822,643.40 : x
  2. Step 2: Convert to fraction form
    945,822,643.40/1,418,733,965.10 = 945,822,643.40/x
  3. Step 3: Cross multiply
    945,822,643.40x = 1,418,733,965.10 × 945,822,643.40
  4. Step 4: Simplify right side
    945,822,643.40x = 1,341,870,709,152,245,248
  5. Step 5: Solve for x
    x = 1,341,870,709,152,245,248/945,822,643.40
  6. Step 6: Final answer
    x = 1,418,733,965.10

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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.