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Finding the Fourth Proportional to 65,265,588,006.90, 97,898,382,010.35 and 65,265,588,006.90

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Solution

The fourth proportional to 65,265,588,006.90, 97,898,382,010.35 and 65,265,588,006.90 is: 97,898,382,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,265,588,006.90 : 97,898,382,010.35 = 65,265,588,006.90 : x
  2. Step 2: Convert to fraction form
    65,265,588,006.90/97,898,382,010.35 = 65,265,588,006.90/x
  3. Step 3: Cross multiply
    65,265,588,006.90x = 97,898,382,010.35 × 65,265,588,006.90
  4. Step 4: Simplify right side
    65,265,588,006.90x = 6,389,395,466,829,614,284,800
  5. Step 5: Solve for x
    x = 6,389,395,466,829,614,284,800/65,265,588,006.90
  6. Step 6: Final answer
    x = 97,898,382,010.35

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1.5x scale

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.