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Finding the Fourth Proportional to 366,281,007,029.10, 549,421,510,543.65 and 366,281,007,029.10

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Solution

The fourth proportional to 366,281,007,029.10, 549,421,510,543.65 and 366,281,007,029.10 is: 549,421,510,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,281,007,029.10 : 549,421,510,543.65 = 366,281,007,029.10 : x
  2. Step 2: Convert to fraction form
    366,281,007,029.10/549,421,510,543.65 = 366,281,007,029.10/x
  3. Step 3: Cross multiply
    366,281,007,029.10x = 549,421,510,543.65 × 366,281,007,029.10
  4. Step 4: Simplify right side
    366,281,007,029.10x = 201,242,664,165,377,396,703,232
  5. Step 5: Solve for x
    x = 201,242,664,165,377,396,703,232/366,281,007,029.10
  6. Step 6: Final answer
    x = 549,421,510,543.65

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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.