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Finding the Fourth Proportional to 1,402,269,543, 1,935,188,947.98 and 775,727,168.76

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Solution

The fourth proportional to 1,402,269,543, 1,935,188,947.98 and 775,727,168.76 is: 1,070,535,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,269,543 : 1,935,188,947.98 = 775,727,168.76 : x
  2. Step 2: Convert to fraction form
    1,402,269,543/1,935,188,947.98 = 775,727,168.76/x
  3. Step 3: Cross multiply
    1,402,269,543x = 1,935,188,947.98 × 775,727,168.76
  4. Step 4: Simplify right side
    1,402,269,543x = 1,501,178,643,632,168,192
  5. Step 5: Solve for x
    x = 1,501,178,643,632,168,192/1,402,269,543
  6. Step 6: Final answer
    x = 1,070,535,013.13

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1.5x scale

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.