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Finding the Fourth Proportional to 927,148,032,048.02, 1,390,722,048,072 and 927,148,032,048.02

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Solution

The fourth proportional to 927,148,032,048.02, 1,390,722,048,072 and 927,148,032,048.02 is: 1,390,722,048,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,148,032,048.02 : 1,390,722,048,072 = 927,148,032,048.02 : x
  2. Step 2: Convert to fraction form
    927,148,032,048.02/1,390,722,048,072 = 927,148,032,048.02/x
  3. Step 3: Cross multiply
    927,148,032,048.02x = 1,390,722,048,072 × 927,148,032,048.02
  4. Step 4: Simplify right side
    927,148,032,048.02x = 1,289,405,209,995,746,645,901,312
  5. Step 5: Solve for x
    x = 1,289,405,209,995,746,645,901,312/927,148,032,048.02
  6. Step 6: Final answer
    x = 1,390,722,048,072

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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.