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Finding the Fourth Proportional to 1,564,566,888,946, 2,346,850,333,419 and 1,564,566,888,946

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Solution

The fourth proportional to 1,564,566,888,946, 2,346,850,333,419 and 1,564,566,888,946 is: 2,346,850,333,419

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,566,888,946 : 2,346,850,333,419 = 1,564,566,888,946 : x
  2. Step 2: Convert to fraction form
    1,564,566,888,946/2,346,850,333,419 = 1,564,566,888,946/x
  3. Step 3: Cross multiply
    1,564,566,888,946x = 2,346,850,333,419 × 1,564,566,888,946
  4. Step 4: Simplify right side
    1,564,566,888,946x = 3,671,804,324,979,247,549,513,728
  5. Step 5: Solve for x
    x = 3,671,804,324,979,247,549,513,728/1,564,566,888,946
  6. Step 6: Final answer
    x = 2,346,850,333,419

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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.