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Finding the Fourth Proportional to 1,034,835,727.07, 1,428,066,038.57 and 564,937,048.01

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Solution

The fourth proportional to 1,034,835,727.07, 1,428,066,038.57 and 564,937,048.01 is: 779,609,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,835,727.07 : 1,428,066,038.57 = 564,937,048.01 : x
  2. Step 2: Convert to fraction form
    1,034,835,727.07/1,428,066,038.57 = 564,937,048.01/x
  3. Step 3: Cross multiply
    1,034,835,727.07x = 1,428,066,038.57 × 564,937,048.01
  4. Step 4: Simplify right side
    1,034,835,727.07x = 806,767,412,183,105,664
  5. Step 5: Solve for x
    x = 806,767,412,183,105,664/1,034,835,727.07
  6. Step 6: Final answer
    x = 779,609,160.26

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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.