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Finding the Fourth Proportional to 551,671,216,912.95, 827,506,825,369.42 and 551,671,216,912.95

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Solution

The fourth proportional to 551,671,216,912.95, 827,506,825,369.42 and 551,671,216,912.95 is: 827,506,825,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,671,216,912.95 : 827,506,825,369.42 = 551,671,216,912.95 : x
  2. Step 2: Convert to fraction form
    551,671,216,912.95/827,506,825,369.42 = 551,671,216,912.95/x
  3. Step 3: Cross multiply
    551,671,216,912.95x = 827,506,825,369.42 × 551,671,216,912.95
  4. Step 4: Simplify right side
    551,671,216,912.95x = 456,511,697,355,319,925,538,816
  5. Step 5: Solve for x
    x = 456,511,697,355,319,925,538,816/551,671,216,912.95
  6. Step 6: Final answer
    x = 827,506,825,369.42

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Double scale
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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.