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Finding the Fourth Proportional to 153,078,222,001.20, 229,617,333,001.80 and 153,078,222,001.20

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Solution

The fourth proportional to 153,078,222,001.20, 229,617,333,001.80 and 153,078,222,001.20 is: 229,617,333,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,078,222,001.20 : 229,617,333,001.80 = 153,078,222,001.20 : x
  2. Step 2: Convert to fraction form
    153,078,222,001.20/229,617,333,001.80 = 153,078,222,001.20/x
  3. Step 3: Cross multiply
    153,078,222,001.20x = 229,617,333,001.80 × 153,078,222,001.20
  4. Step 4: Simplify right side
    153,078,222,001.20x = 35,149,413,076,573,007,904,768
  5. Step 5: Solve for x
    x = 35,149,413,076,573,007,904,768/153,078,222,001.20
  6. Step 6: Final answer
    x = 229,617,333,001.80

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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.