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Finding the Fourth Proportional to 615,089,378,411.40, 922,634,067,617.10 and 615,089,378,411.40

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Solution

The fourth proportional to 615,089,378,411.40, 922,634,067,617.10 and 615,089,378,411.40 is: 922,634,067,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,089,378,411.40 : 922,634,067,617.10 = 615,089,378,411.40 : x
  2. Step 2: Convert to fraction form
    615,089,378,411.40/922,634,067,617.10 = 615,089,378,411.40/x
  3. Step 3: Cross multiply
    615,089,378,411.40x = 922,634,067,617.10 × 615,089,378,411.40
  4. Step 4: Simplify right side
    615,089,378,411.40x = 567,502,415,151,783,670,185,984
  5. Step 5: Solve for x
    x = 567,502,415,151,783,670,185,984/615,089,378,411.40
  6. Step 6: Final answer
    x = 922,634,067,617.10

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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.