Finding the Fourth Proportional to 1,281,438,400,799, 1,768,386,744,276.20 and 695,488,255,463
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Solution
The fourth proportional to 1,281,438,400,799, 1,768,386,744,276.20 and 695,488,255,463 is: 959,774,742,971.41
Step by Step Solution
- Step 1: Write the proportion equation
1,281,438,400,799 : 1,768,386,744,276.20 = 695,488,255,463 : x - Step 2: Convert to fraction form
1,281,438,400,799/1,768,386,744,276.20 = 695,488,255,463/x - Step 3: Cross multiply
1,281,438,400,799x = 1,768,386,744,276.20 × 695,488,255,463 - Step 4: Simplify right side
1,281,438,400,799x = 1,229,892,211,760,548,678,729,728 - Step 5: Solve for x
x = 1,229,892,211,760,548,678,729,728/1,281,438,400,799 - Step 6: Final answer
x = 959,774,742,971.41
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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.