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Finding the Fourth Proportional to 1,097,209,156,916.90, 1,645,813,735,375.40 and 1,097,209,156,916.90

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Solution

The fourth proportional to 1,097,209,156,916.90, 1,645,813,735,375.40 and 1,097,209,156,916.90 is: 1,645,813,735,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,209,156,916.90 : 1,645,813,735,375.40 = 1,097,209,156,916.90 : x
  2. Step 2: Convert to fraction form
    1,097,209,156,916.90/1,645,813,735,375.40 = 1,097,209,156,916.90/x
  3. Step 3: Cross multiply
    1,097,209,156,916.90x = 1,645,813,735,375.40 × 1,097,209,156,916.90
  4. Step 4: Simplify right side
    1,097,209,156,916.90x = 1,805,801,901,033,496,506,269,696
  5. Step 5: Solve for x
    x = 1,805,801,901,033,496,506,269,696/1,097,209,156,916.90
  6. Step 6: Final answer
    x = 1,645,813,735,375.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.