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Finding the Fourth Proportional to 65,265,588,017.40, 97,898,382,026.10 and 65,265,588,017.40

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Solution

The fourth proportional to 65,265,588,017.40, 97,898,382,026.10 and 65,265,588,017.40 is: 97,898,382,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,265,588,017.40 : 97,898,382,026.10 = 65,265,588,017.40 : x
  2. Step 2: Convert to fraction form
    65,265,588,017.40/97,898,382,026.10 = 65,265,588,017.40/x
  3. Step 3: Cross multiply
    65,265,588,017.40x = 97,898,382,026.10 × 65,265,588,017.40
  4. Step 4: Simplify right side
    65,265,588,017.40x = 6,389,395,468,885,480,701,952
  5. Step 5: Solve for x
    x = 6,389,395,468,885,480,701,952/65,265,588,017.40
  6. Step 6: Final answer
    x = 97,898,382,026.10

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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.