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Finding the Fourth Proportional to 927,148,032,336.15, 1,390,722,048,504.30 and 927,148,032,336.15

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Solution

The fourth proportional to 927,148,032,336.15, 1,390,722,048,504.30 and 927,148,032,336.15 is: 1,390,722,048,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,148,032,336.15 : 1,390,722,048,504.30 = 927,148,032,336.15 : x
  2. Step 2: Convert to fraction form
    927,148,032,336.15/1,390,722,048,504.30 = 927,148,032,336.15/x
  3. Step 3: Cross multiply
    927,148,032,336.15x = 1,390,722,048,504.30 × 927,148,032,336.15
  4. Step 4: Simplify right side
    927,148,032,336.15x = 1,289,405,210,797,261,631,520,768
  5. Step 5: Solve for x
    x = 1,289,405,210,797,261,631,520,768/927,148,032,336.15
  6. Step 6: Final answer
    x = 1,390,722,048,504.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.