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Finding the Fourth Proportional to 274,057,901.76, 411,111,009.69 and 77,323,038.31

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Solution

The fourth proportional to 274,057,901.76, 411,111,009.69 and 77,323,038.31 is: 115,991,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,057,901.76 : 411,111,009.69 = 77,323,038.31 : x
  2. Step 2: Convert to fraction form
    274,057,901.76/411,111,009.69 = 77,323,038.31/x
  3. Step 3: Cross multiply
    274,057,901.76x = 411,111,009.69 × 77,323,038.31
  4. Step 4: Simplify right side
    274,057,901.76x = 31,788,352,352,364,628
  5. Step 5: Solve for x
    x = 31,788,352,352,364,628/274,057,901.76
  6. Step 6: Final answer
    x = 115,991,373.17

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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.