Finding the Fourth Proportional to 1,281,438,400,799.10, 1,768,386,744,276.30 and 695,488,255,463.11
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Solution
The fourth proportional to 1,281,438,400,799.10, 1,768,386,744,276.30 and 695,488,255,463.11 is: 959,774,742,971.54
Step by Step Solution
- Step 1: Write the proportion equation
1,281,438,400,799.10 : 1,768,386,744,276.30 = 695,488,255,463.11 : x - Step 2: Convert to fraction form
1,281,438,400,799.10/1,768,386,744,276.30 = 695,488,255,463.11/x - Step 3: Cross multiply
1,281,438,400,799.10x = 1,768,386,744,276.30 × 695,488,255,463.11 - Step 4: Simplify right side
1,281,438,400,799.10x = 1,229,892,211,760,812,819,218,432 - Step 5: Solve for x
x = 1,229,892,211,760,812,819,218,432/1,281,438,400,799.10 - Step 6: Final answer
x = 959,774,742,971.54
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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.