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Finding the Fourth Proportional to 77,018,688,002.60, 115,344,365,994.30 and 77,018,688,002.60

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Solution

The fourth proportional to 77,018,688,002.60, 115,344,365,994.30 and 77,018,688,002.60 is: 115,344,365,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,018,688,002.60 : 115,344,365,994.30 = 77,018,688,002.60 : x
  2. Step 2: Convert to fraction form
    77,018,688,002.60/115,344,365,994.30 = 77,018,688,002.60/x
  3. Step 3: Cross multiply
    77,018,688,002.60x = 115,344,365,994.30 × 77,018,688,002.60
  4. Step 4: Simplify right side
    77,018,688,002.60x = 8,883,671,737,372,697,952,256
  5. Step 5: Solve for x
    x = 8,883,671,737,372,697,952,256/77,018,688,002.60
  6. Step 6: Final answer
    x = 115,344,365,994.30

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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.