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Finding the Fourth Proportional to 335,172,816,003.40, 502,759,224,005.10 and 335,172,816,003.40

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Solution

The fourth proportional to 335,172,816,003.40, 502,759,224,005.10 and 335,172,816,003.40 is: 502,759,224,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,172,816,003.40 : 502,759,224,005.10 = 335,172,816,003.40 : x
  2. Step 2: Convert to fraction form
    335,172,816,003.40/502,759,224,005.10 = 335,172,816,003.40/x
  3. Step 3: Cross multiply
    335,172,816,003.40x = 502,759,224,005.10 × 335,172,816,003.40
  4. Step 4: Simplify right side
    335,172,816,003.40x = 168,511,224,881,473,564,704,768
  5. Step 5: Solve for x
    x = 168,511,224,881,473,564,704,768/335,172,816,003.40
  6. Step 6: Final answer
    x = 502,759,224,005.10

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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.