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Finding the Fourth Proportional to 671,938,254,003.60, 1,007,907,381,005.40 and 671,938,254,003.60

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Solution

The fourth proportional to 671,938,254,003.60, 1,007,907,381,005.40 and 671,938,254,003.60 is: 1,007,907,381,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,938,254,003.60 : 1,007,907,381,005.40 = 671,938,254,003.60 : x
  2. Step 2: Convert to fraction form
    671,938,254,003.60/1,007,907,381,005.40 = 671,938,254,003.60/x
  3. Step 3: Cross multiply
    671,938,254,003.60x = 1,007,907,381,005.40 × 671,938,254,003.60
  4. Step 4: Simplify right side
    671,938,254,003.60x = 677,251,525,790,109,712,515,072
  5. Step 5: Solve for x
    x = 677,251,525,790,109,712,515,072/671,938,254,003.60
  6. Step 6: Final answer
    x = 1,007,907,381,005.40

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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.