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Finding the Fourth Proportional to 20,911,559,140.40, 29,349,649,200.40 and 20,911,559,140.40

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Solution

The fourth proportional to 20,911,559,140.40, 29,349,649,200.40 and 20,911,559,140.40 is: 29,349,649,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,911,559,140.40 : 29,349,649,200.40 = 20,911,559,140.40 : x
  2. Step 2: Convert to fraction form
    20,911,559,140.40/29,349,649,200.40 = 20,911,559,140.40/x
  3. Step 3: Cross multiply
    20,911,559,140.40x = 29,349,649,200.40 × 20,911,559,140.40
  4. Step 4: Simplify right side
    20,911,559,140.40x = 613,746,925,004,158,271,488
  5. Step 5: Solve for x
    x = 613,746,925,004,158,271,488/20,911,559,140.40
  6. Step 6: Final answer
    x = 29,349,649,200.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.