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Finding the Fourth Proportional to 1,034,835,727.03, 1,428,066,038.52 and 564,937,047.97

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Solution

The fourth proportional to 1,034,835,727.03, 1,428,066,038.52 and 564,937,047.97 is: 779,609,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,835,727.03 : 1,428,066,038.52 = 564,937,047.97 : x
  2. Step 2: Convert to fraction form
    1,034,835,727.03/1,428,066,038.52 = 564,937,047.97/x
  3. Step 3: Cross multiply
    1,034,835,727.03x = 1,428,066,038.52 × 564,937,047.97
  4. Step 4: Simplify right side
    1,034,835,727.03x = 806,767,412,107,701,120
  5. Step 5: Solve for x
    x = 806,767,412,107,701,120/1,034,835,727.03
  6. Step 6: Final answer
    x = 779,609,160.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.