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Finding the Fourth Proportional to 258,813,072,005.60, 388,219,608,008.40 and 258,813,072,005.60

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Solution

The fourth proportional to 258,813,072,005.60, 388,219,608,008.40 and 258,813,072,005.60 is: 388,219,608,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,813,072,005.60 : 388,219,608,008.40 = 258,813,072,005.60 : x
  2. Step 2: Convert to fraction form
    258,813,072,005.60/388,219,608,008.40 = 258,813,072,005.60/x
  3. Step 3: Cross multiply
    258,813,072,005.60x = 388,219,608,008.40 × 258,813,072,005.60
  4. Step 4: Simplify right side
    258,813,072,005.60x = 100,476,309,361,463,843,094,528
  5. Step 5: Solve for x
    x = 100,476,309,361,463,843,094,528/258,813,072,005.60
  6. Step 6: Final answer
    x = 388,219,608,008.40

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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.