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Finding the Fourth Proportional to 292,159,780,386.20, 438,239,670,579.30 and 292,159,780,386.20

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Solution

The fourth proportional to 292,159,780,386.20, 438,239,670,579.30 and 292,159,780,386.20 is: 438,239,670,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159,780,386.20 : 438,239,670,579.30 = 292,159,780,386.20 : x
  2. Step 2: Convert to fraction form
    292,159,780,386.20/438,239,670,579.30 = 292,159,780,386.20/x
  3. Step 3: Cross multiply
    292,159,780,386.20x = 438,239,670,579.30 × 292,159,780,386.20
  4. Step 4: Simplify right side
    292,159,780,386.20x = 128,036,005,912,968,918,204,416
  5. Step 5: Solve for x
    x = 128,036,005,912,968,918,204,416/292,159,780,386.20
  6. Step 6: Final answer
    x = 438,239,670,579.30

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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.