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Finding the Fourth Proportional to 927,148,032,068.02, 1,390,722,048,101.90 and 927,148,032,068.02

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Solution

The fourth proportional to 927,148,032,068.02, 1,390,722,048,101.90 and 927,148,032,068.02 is: 1,390,722,048,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,148,032,068.02 : 1,390,722,048,101.90 = 927,148,032,068.02 : x
  2. Step 2: Convert to fraction form
    927,148,032,068.02/1,390,722,048,101.90 = 927,148,032,068.02/x
  3. Step 3: Cross multiply
    927,148,032,068.02x = 1,390,722,048,101.90 × 927,148,032,068.02
  4. Step 4: Simplify right side
    927,148,032,068.02x = 1,289,405,210,051,282,720,522,240
  5. Step 5: Solve for x
    x = 1,289,405,210,051,282,720,522,240/927,148,032,068.02
  6. Step 6: Final answer
    x = 1,390,722,048,101.90

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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.