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Finding the Fourth Proportional to 20,465,402,411.15, 30,698,103,616.73 and 20,465,402,411.15

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Solution

The fourth proportional to 20,465,402,411.15, 30,698,103,616.73 and 20,465,402,411.15 is: 30,698,103,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465,402,411.15 : 30,698,103,616.73 = 20,465,402,411.15 : x
  2. Step 2: Convert to fraction form
    20,465,402,411.15/30,698,103,616.73 = 20,465,402,411.15/x
  3. Step 3: Cross multiply
    20,465,402,411.15x = 30,698,103,616.73 × 20,465,402,411.15
  4. Step 4: Simplify right side
    20,465,402,411.15x = 628,249,043,775,558,778,880
  5. Step 5: Solve for x
    x = 628,249,043,775,558,778,880/20,465,402,411.15
  6. Step 6: Final answer
    x = 30,698,103,616.73

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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.