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Finding the Fourth Proportional to 1,402,269,486, 1,935,188,869.32 and 775,727,111.76

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Solution

The fourth proportional to 1,402,269,486, 1,935,188,869.32 and 775,727,111.76 is: 1,070,534,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,269,486 : 1,935,188,869.32 = 775,727,111.76 : x
  2. Step 2: Convert to fraction form
    1,402,269,486/1,935,188,869.32 = 775,727,111.76/x
  3. Step 3: Cross multiply
    1,402,269,486x = 1,935,188,869.32 × 775,727,111.76
  4. Step 4: Simplify right side
    1,402,269,486x = 1,501,178,472,307,703,552
  5. Step 5: Solve for x
    x = 1,501,178,472,307,703,552/1,402,269,486
  6. Step 6: Final answer
    x = 1,070,534,934.47

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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.