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Finding the Fourth Proportional to 5,740,416,097.40, 8,042,024,492.20 and 5,740,416,097.40

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Solution

The fourth proportional to 5,740,416,097.40, 8,042,024,492.20 and 5,740,416,097.40 is: 8,042,024,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,416,097.40 : 8,042,024,492.20 = 5,740,416,097.40 : x
  2. Step 2: Convert to fraction form
    5,740,416,097.40/8,042,024,492.20 = 5,740,416,097.40/x
  3. Step 3: Cross multiply
    5,740,416,097.40x = 8,042,024,492.20 × 5,740,416,097.40
  4. Step 4: Simplify right side
    5,740,416,097.40x = 46,164,566,850,709,938,176
  5. Step 5: Solve for x
    x = 46,164,566,850,709,938,176/5,740,416,097.40
  6. Step 6: Final answer
    x = 8,042,024,492.20

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1.5x scale

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.