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Finding the Fourth Proportional to 1,102,758,396.90, 1,547,735,960.55 and 1,102,758,396.90

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Solution

The fourth proportional to 1,102,758,396.90, 1,547,735,960.55 and 1,102,758,396.90 is: 1,547,735,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,758,396.90 : 1,547,735,960.55 = 1,102,758,396.90 : x
  2. Step 2: Convert to fraction form
    1,102,758,396.90/1,547,735,960.55 = 1,102,758,396.90/x
  3. Step 3: Cross multiply
    1,102,758,396.90x = 1,547,735,960.55 × 1,102,758,396.90
  4. Step 4: Simplify right side
    1,102,758,396.90x = 1,706,778,826,680,599,808
  5. Step 5: Solve for x
    x = 1,706,778,826,680,599,808/1,102,758,396.90
  6. Step 6: Final answer
    x = 1,547,735,960.55

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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.