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Finding the Fourth Proportional to 7,772,785,637,780, 10,726,781,357,978 and 4,304,404,750,445

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Solution

The fourth proportional to 7,772,785,637,780, 10,726,781,357,978 and 4,304,404,750,445 is: 5,940,265,277,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772,785,637,780 : 10,726,781,357,978 = 4,304,404,750,445 : x
  2. Step 2: Convert to fraction form
    7,772,785,637,780/10,726,781,357,978 = 4,304,404,750,445/x
  3. Step 3: Cross multiply
    7,772,785,637,780x = 10,726,781,357,978 × 4,304,404,750,445
  4. Step 4: Simplify right side
    7,772,785,637,780x = 46,172,408,634,265,371,592,884,224
  5. Step 5: Solve for x
    x = 46,172,408,634,265,371,592,884,224/7,772,785,637,780
  6. Step 6: Final answer
    x = 5,940,265,277,591.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.