Finding the Fourth Proportional to 10,479,829,772,943, 14,462,913,458,118 and 5,792,127,694,394
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Solution
The fourth proportional to 10,479,829,772,943, 14,462,913,458,118 and 5,792,127,694,394 is: 7,993,549,837,867.64
Step by Step Solution
- Step 1: Write the proportion equation
10,479,829,772,943 : 14,462,913,458,118 = 5,792,127,694,394 : x - Step 2: Convert to fraction form
10,479,829,772,943/14,462,913,458,118 = 5,792,127,694,394/x - Step 3: Cross multiply
10,479,829,772,943x = 14,462,913,458,118 × 5,792,127,694,394 - Step 4: Simplify right side
10,479,829,772,943x = 83,771,041,582,388,964,700,979,200 - Step 5: Solve for x
x = 83,771,041,582,388,964,700,979,200/10,479,829,772,943 - Step 6: Final answer
x = 7,993,549,837,867.64
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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.