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Finding the Fourth Proportional to 986,148,438, 1,360,858,797.73 and 562,754,510.40

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Solution

The fourth proportional to 986,148,438, 1,360,858,797.73 and 562,754,510.40 is: 776,586,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,148,438 : 1,360,858,797.73 = 562,754,510.40 : x
  2. Step 2: Convert to fraction form
    986,148,438/1,360,858,797.73 = 562,754,510.40/x
  3. Step 3: Cross multiply
    986,148,438x = 1,360,858,797.73 × 562,754,510.40
  4. Step 4: Simplify right side
    986,148,438x = 765,829,426,440,078,720
  5. Step 5: Solve for x
    x = 765,829,426,440,078,720/986,148,438
  6. Step 6: Final answer
    x = 776,586,360.56

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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.