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Finding the Fourth Proportional to 65,346,326,465.40, 98,019,489,698.10 and 65,346,326,465.40

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Solution

The fourth proportional to 65,346,326,465.40, 98,019,489,698.10 and 65,346,326,465.40 is: 98,019,489,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,346,326,465.40 : 98,019,489,698.10 = 65,346,326,465.40 : x
  2. Step 2: Convert to fraction form
    65,346,326,465.40/98,019,489,698.10 = 65,346,326,465.40/x
  3. Step 3: Cross multiply
    65,346,326,465.40x = 98,019,489,698.10 × 65,346,326,465.40
  4. Step 4: Simplify right side
    65,346,326,465.40x = 6,405,213,573,783,955,177,472
  5. Step 5: Solve for x
    x = 6,405,213,573,783,955,177,472/65,346,326,465.40
  6. Step 6: Final answer
    x = 98,019,489,698.10

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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.