Finding the Fourth Proportional to 1,624,312,535,407.20, 2,241,605,055,952.20 and 892,726,873,400.85
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Solution
The fourth proportional to 1,624,312,535,407.20, 2,241,605,055,952.20 and 892,726,873,400.85 is: 1,231,992,630,345.66
Step by Step Solution
- Step 1: Write the proportion equation
1,624,312,535,407.20 : 2,241,605,055,952.20 = 892,726,873,400.85 : x - Step 2: Convert to fraction form
1,624,312,535,407.20/2,241,605,055,952.20 = 892,726,873,400.85/x - Step 3: Cross multiply
1,624,312,535,407.20x = 2,241,605,055,952.20 × 892,726,873,400.85 - Step 4: Simplify right side
1,624,312,535,407.20x = 2,001,141,072,999,744,997,949,440 - Step 5: Solve for x
x = 2,001,141,072,999,744,997,949,440/1,624,312,535,407.20 - Step 6: Final answer
x = 1,231,992,630,345.66
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.