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Finding the Fourth Proportional to 848,649,312,005.30, 1,272,973,968,007.90 and 848,649,312,005.30

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Solution

The fourth proportional to 848,649,312,005.30, 1,272,973,968,007.90 and 848,649,312,005.30 is: 1,272,973,968,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,649,312,005.30 : 1,272,973,968,007.90 = 848,649,312,005.30 : x
  2. Step 2: Convert to fraction form
    848,649,312,005.30/1,272,973,968,007.90 = 848,649,312,005.30/x
  3. Step 3: Cross multiply
    848,649,312,005.30x = 1,272,973,968,007.90 × 848,649,312,005.30
  4. Step 4: Simplify right side
    848,649,312,005.30x = 1,080,308,482,150,561,067,565,056
  5. Step 5: Solve for x
    x = 1,080,308,482,150,561,067,565,056/848,649,312,005.30
  6. Step 6: Final answer
    x = 1,272,973,968,007.90

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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.