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Finding the Fourth Proportional to 20,465,402,406.90, 30,698,103,610.35 and 20,465,402,406.90

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Solution

The fourth proportional to 20,465,402,406.90, 30,698,103,610.35 and 20,465,402,406.90 is: 30,698,103,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465,402,406.90 : 30,698,103,610.35 = 20,465,402,406.90 : x
  2. Step 2: Convert to fraction form
    20,465,402,406.90/30,698,103,610.35 = 20,465,402,406.90/x
  3. Step 3: Cross multiply
    20,465,402,406.90x = 30,698,103,610.35 × 20,465,402,406.90
  4. Step 4: Simplify right side
    20,465,402,406.90x = 628,249,043,514,522,468,352
  5. Step 5: Solve for x
    x = 628,249,043,514,522,468,352/20,465,402,406.90
  6. Step 6: Final answer
    x = 30,698,103,610.35

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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.