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Finding the Fourth Proportional to 576,211,661.66, 864,454,994.64 and 188,035,214.24

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Solution

The fourth proportional to 576,211,661.66, 864,454,994.64 and 188,035,214.24 is: 282,097,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,211,661.66 : 864,454,994.64 = 188,035,214.24 : x
  2. Step 2: Convert to fraction form
    576,211,661.66/864,454,994.64 = 188,035,214.24/x
  3. Step 3: Cross multiply
    576,211,661.66x = 864,454,994.64 × 188,035,214.24
  4. Step 4: Simplify right side
    576,211,661.66x = 162,547,980,117,970,464
  5. Step 5: Solve for x
    x = 162,547,980,117,970,464/576,211,661.66
  6. Step 6: Final answer
    x = 282,097,692.45

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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.