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Finding the Fourth Proportional to 7,174,476,645.40, 10,761,714,968.10 and 7,174,476,645.40

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Solution

The fourth proportional to 7,174,476,645.40, 10,761,714,968.10 and 7,174,476,645.40 is: 10,761,714,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174,476,645.40 : 10,761,714,968.10 = 7,174,476,645.40 : x
  2. Step 2: Convert to fraction form
    7,174,476,645.40/10,761,714,968.10 = 7,174,476,645.40/x
  3. Step 3: Cross multiply
    7,174,476,645.40x = 10,761,714,968.10 × 7,174,476,645.40
  4. Step 4: Simplify right side
    7,174,476,645.40x = 77,209,672,703,085,051,904
  5. Step 5: Solve for x
    x = 77,209,672,703,085,051,904/7,174,476,645.40
  6. Step 6: Final answer
    x = 10,761,714,968.10

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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.