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Finding the Fourth Proportional to 20,023,990,929.60, 28,091,634,830.40 and 20,023,990,929.60

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Solution

The fourth proportional to 20,023,990,929.60, 28,091,634,830.40 and 20,023,990,929.60 is: 28,091,634,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023,990,929.60 : 28,091,634,830.40 = 20,023,990,929.60 : x
  2. Step 2: Convert to fraction form
    20,023,990,929.60/28,091,634,830.40 = 20,023,990,929.60/x
  3. Step 3: Cross multiply
    20,023,990,929.60x = 28,091,634,830.40 × 20,023,990,929.60
  4. Step 4: Simplify right side
    20,023,990,929.60x = 562,506,641,041,565,024,256
  5. Step 5: Solve for x
    x = 562,506,641,041,565,024,256/20,023,990,929.60
  6. Step 6: Final answer
    x = 28,091,634,830.40

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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.