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Finding the Fourth Proportional to 1,957,803,156, 2,935,631,340 and 776,186,608.32

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Solution

The fourth proportional to 1,957,803,156, 2,935,631,340 and 776,186,608.32 is: 1,163,854,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957,803,156 : 2,935,631,340 = 776,186,608.32 : x
  2. Step 2: Convert to fraction form
    1,957,803,156/2,935,631,340 = 776,186,608.32/x
  3. Step 3: Cross multiply
    1,957,803,156x = 2,935,631,340 × 776,186,608.32
  4. Step 4: Simplify right side
    1,957,803,156x = 2,278,597,733,072,496,896
  5. Step 5: Solve for x
    x = 2,278,597,733,072,496,896/1,957,803,156
  6. Step 6: Final answer
    x = 1,163,854,356.90

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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.