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Finding the Fourth Proportional to 566,458,087.40, 848,175,476.70 and 566,458,087.40

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Solution

The fourth proportional to 566,458,087.40, 848,175,476.70 and 566,458,087.40 is: 848,175,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,458,087.40 : 848,175,476.70 = 566,458,087.40 : x
  2. Step 2: Convert to fraction form
    566,458,087.40/848,175,476.70 = 566,458,087.40/x
  3. Step 3: Cross multiply
    566,458,087.40x = 848,175,476.70 × 566,458,087.40
  4. Step 4: Simplify right side
    566,458,087.40x = 480,455,858,311,065,280
  5. Step 5: Solve for x
    x = 480,455,858,311,065,280/566,458,087.40
  6. Step 6: Final answer
    x = 848,175,476.70

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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.