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Finding the Fourth Proportional to 927,148,032,066.75, 1,390,722,048,100.10 and 927,148,032,066.75

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Solution

The fourth proportional to 927,148,032,066.75, 1,390,722,048,100.10 and 927,148,032,066.75 is: 1,390,722,048,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,148,032,066.75 : 1,390,722,048,100.10 = 927,148,032,066.75 : x
  2. Step 2: Convert to fraction form
    927,148,032,066.75/1,390,722,048,100.10 = 927,148,032,066.75/x
  3. Step 3: Cross multiply
    927,148,032,066.75x = 1,390,722,048,100.10 × 927,148,032,066.75
  4. Step 4: Simplify right side
    927,148,032,066.75x = 1,289,405,210,047,847,820,427,264
  5. Step 5: Solve for x
    x = 1,289,405,210,047,847,820,427,264/927,148,032,066.75
  6. Step 6: Final answer
    x = 1,390,722,048,100.10

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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.