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Finding the Fourth Proportional to 20,465,402,409.90, 30,698,103,614.85 and 20,465,402,409.90

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Solution

The fourth proportional to 20,465,402,409.90, 30,698,103,614.85 and 20,465,402,409.90 is: 30,698,103,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465,402,409.90 : 30,698,103,614.85 = 20,465,402,409.90 : x
  2. Step 2: Convert to fraction form
    20,465,402,409.90/30,698,103,614.85 = 20,465,402,409.90/x
  3. Step 3: Cross multiply
    20,465,402,409.90x = 30,698,103,614.85 × 20,465,402,409.90
  4. Step 4: Simplify right side
    20,465,402,409.90x = 628,249,043,698,711,134,208
  5. Step 5: Solve for x
    x = 628,249,043,698,711,134,208/20,465,402,409.90
  6. Step 6: Final answer
    x = 30,698,103,614.85

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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.