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Finding the Fourth Proportional to 286,686,072.80, 430,135,397.40 and 114,286,612.40

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Solution

The fourth proportional to 286,686,072.80, 430,135,397.40 and 114,286,612.40 is: 171,472,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,686,072.80 : 430,135,397.40 = 114,286,612.40 : x
  2. Step 2: Convert to fraction form
    286,686,072.80/430,135,397.40 = 114,286,612.40/x
  3. Step 3: Cross multiply
    286,686,072.80x = 430,135,397.40 × 114,286,612.40
  4. Step 4: Simplify right side
    286,686,072.80x = 49,158,717,442,173,768
  5. Step 5: Solve for x
    x = 49,158,717,442,173,768/286,686,072.80
  6. Step 6: Final answer
    x = 171,472,290.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.