Finding the Fourth Proportional to 6,185,151,023,248.40, 8,535,772,959,987.80 and 3,444,701,487,646
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Solution
The fourth proportional to 6,185,151,023,248.40, 8,535,772,959,987.80 and 3,444,701,487,646 is: 4,753,835,387,844.11
Step by Step Solution
- Step 1: Write the proportion equation
6,185,151,023,248.40 : 8,535,772,959,987.80 = 3,444,701,487,646 : x - Step 2: Convert to fraction form
6,185,151,023,248.40/8,535,772,959,987.80 = 3,444,701,487,646/x - Step 3: Cross multiply
6,185,151,023,248.40x = 8,535,772,959,987.80 × 3,444,701,487,646 - Step 4: Simplify right side
6,185,151,023,248.40x = 29,403,189,813,478,474,085,564,416 - Step 5: Solve for x
x = 29,403,189,813,478,474,085,564,416/6,185,151,023,248.40 - Step 6: Final answer
x = 4,753,835,387,844.11
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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.