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Finding the Fourth Proportional to 927,148,032,069.65, 1,390,722,048,104.50 and 927,148,032,069.65

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Solution

The fourth proportional to 927,148,032,069.65, 1,390,722,048,104.50 and 927,148,032,069.65 is: 1,390,722,048,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,148,032,069.65 : 1,390,722,048,104.50 = 927,148,032,069.65 : x
  2. Step 2: Convert to fraction form
    927,148,032,069.65/1,390,722,048,104.50 = 927,148,032,069.65/x
  3. Step 3: Cross multiply
    927,148,032,069.65x = 1,390,722,048,104.50 × 927,148,032,069.65
  4. Step 4: Simplify right side
    927,148,032,069.65x = 1,289,405,210,055,960,208,343,040
  5. Step 5: Solve for x
    x = 1,289,405,210,055,960,208,343,040/927,148,032,069.65
  6. Step 6: Final answer
    x = 1,390,722,048,104.50

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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.