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Finding the Fourth Proportional to 71,803,615,109.40, 107,705,422,664.10 and 71,803,615,109.40

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Solution

The fourth proportional to 71,803,615,109.40, 107,705,422,664.10 and 71,803,615,109.40 is: 107,705,422,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,803,615,109.40 : 107,705,422,664.10 = 71,803,615,109.40 : x
  2. Step 2: Convert to fraction form
    71,803,615,109.40/107,705,422,664.10 = 71,803,615,109.40/x
  3. Step 3: Cross multiply
    71,803,615,109.40x = 107,705,422,664.10 × 71,803,615,109.40
  4. Step 4: Simplify right side
    71,803,615,109.40x = 7,733,638,714,168,283,496,448
  5. Step 5: Solve for x
    x = 7,733,638,714,168,283,496,448/71,803,615,109.40
  6. Step 6: Final answer
    x = 107,705,422,664.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.