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Finding the Fourth Proportional to 384,362,607,387.80, 576,543,911,081.70 and 384,362,607,387.80

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Solution

The fourth proportional to 384,362,607,387.80, 576,543,911,081.70 and 384,362,607,387.80 is: 576,543,911,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,362,607,387.80 : 576,543,911,081.70 = 384,362,607,387.80 : x
  2. Step 2: Convert to fraction form
    384,362,607,387.80/576,543,911,081.70 = 384,362,607,387.80/x
  3. Step 3: Cross multiply
    384,362,607,387.80x = 576,543,911,081.70 × 384,362,607,387.80
  4. Step 4: Simplify right side
    384,362,607,387.80x = 221,601,920,936,922,096,599,040
  5. Step 5: Solve for x
    x = 221,601,920,936,922,096,599,040/384,362,607,387.80
  6. Step 6: Final answer
    x = 576,543,911,081.70

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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.