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Finding the Fourth Proportional to 1,402,269,456, 1,935,188,827.92 and 775,727,081.76

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Solution

The fourth proportional to 1,402,269,456, 1,935,188,827.92 and 775,727,081.76 is: 1,070,534,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,269,456 : 1,935,188,827.92 = 775,727,081.76 : x
  2. Step 2: Convert to fraction form
    1,402,269,456/1,935,188,827.92 = 775,727,081.76/x
  3. Step 3: Cross multiply
    1,402,269,456x = 1,935,188,827.92 × 775,727,081.76
  4. Step 4: Simplify right side
    1,402,269,456x = 1,501,178,382,136,936,448
  5. Step 5: Solve for x
    x = 1,501,178,382,136,936,448/1,402,269,456
  6. Step 6: Final answer
    x = 1,070,534,893.07

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