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Finding the Fourth Proportional to 1,510,348,032,196, 2,265,522,048,294 and 1,510,348,032,196

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Solution

The fourth proportional to 1,510,348,032,196, 2,265,522,048,294 and 1,510,348,032,196 is: 2,265,522,048,294

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,348,032,196 : 2,265,522,048,294 = 1,510,348,032,196 : x
  2. Step 2: Convert to fraction form
    1,510,348,032,196/2,265,522,048,294 = 1,510,348,032,196/x
  3. Step 3: Cross multiply
    1,510,348,032,196x = 2,265,522,048,294 × 1,510,348,032,196
  4. Step 4: Simplify right side
    1,510,348,032,196x = 3,421,726,767,537,494,144,581,632
  5. Step 5: Solve for x
    x = 3,421,726,767,537,494,144,581,632/1,510,348,032,196
  6. Step 6: Final answer
    x = 2,265,522,048,294

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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.