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Finding the Fourth Proportional to 1,001,937,357,072.70, 1,502,906,035,609 and 1,001,937,357,072.70

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Solution

The fourth proportional to 1,001,937,357,072.70, 1,502,906,035,609 and 1,001,937,357,072.70 is: 1,502,906,035,609

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,937,357,072.70 : 1,502,906,035,609 = 1,001,937,357,072.70 : x
  2. Step 2: Convert to fraction form
    1,001,937,357,072.70/1,502,906,035,609 = 1,001,937,357,072.70/x
  3. Step 3: Cross multiply
    1,001,937,357,072.70x = 1,502,906,035,609 × 1,001,937,357,072.70
  4. Step 4: Simplify right side
    1,001,937,357,072.70x = 1,505,817,701,246,690,501,066,752
  5. Step 5: Solve for x
    x = 1,505,817,701,246,690,501,066,752/1,001,937,357,072.70
  6. Step 6: Final answer
    x = 1,502,906,035,609

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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.