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Finding the Fourth Proportional to 46,547,136,200.40, 69,820,704,300.60 and 46,547,136,200.40

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Solution

The fourth proportional to 46,547,136,200.40, 69,820,704,300.60 and 46,547,136,200.40 is: 69,820,704,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,547,136,200.40 : 69,820,704,300.60 = 46,547,136,200.40 : x
  2. Step 2: Convert to fraction form
    46,547,136,200.40/69,820,704,300.60 = 46,547,136,200.40/x
  3. Step 3: Cross multiply
    46,547,136,200.40x = 69,820,704,300.60 × 46,547,136,200.40
  4. Step 4: Simplify right side
    46,547,136,200.40x = 3,249,953,832,687,882,469,376
  5. Step 5: Solve for x
    x = 3,249,953,832,687,882,469,376/46,547,136,200.40
  6. Step 6: Final answer
    x = 69,820,704,300.60

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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.