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Finding the Fourth Proportional to 99,320,272,037.10, 148,980,408,055.65 and 99,320,272,037.10

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Solution

The fourth proportional to 99,320,272,037.10, 148,980,408,055.65 and 99,320,272,037.10 is: 148,980,408,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,320,272,037.10 : 148,980,408,055.65 = 99,320,272,037.10 : x
  2. Step 2: Convert to fraction form
    99,320,272,037.10/148,980,408,055.65 = 99,320,272,037.10/x
  3. Step 3: Cross multiply
    99,320,272,037.10x = 148,980,408,055.65 × 99,320,272,037.10
  4. Step 4: Simplify right side
    99,320,272,037.10x = 14,796,774,656,285,322,772,480
  5. Step 5: Solve for x
    x = 14,796,774,656,285,322,772,480/99,320,272,037.10
  6. Step 6: Final answer
    x = 148,980,408,055.65

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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.