Finding the Fourth Proportional to 1,698,575,315,830.40, 2,344,033,846,201.30 and 917,308,368,159.65
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Solution
The fourth proportional to 1,698,575,315,830.40, 2,344,033,846,201.30 and 917,308,368,159.65 is: 1,265,885,499,648.10
Step by Step Solution
- Step 1: Write the proportion equation
1,698,575,315,830.40 : 2,344,033,846,201.30 = 917,308,368,159.65 : x - Step 2: Convert to fraction form
1,698,575,315,830.40/2,344,033,846,201.30 = 917,308,368,159.65/x - Step 3: Cross multiply
1,698,575,315,830.40x = 2,344,033,846,201.30 × 917,308,368,159.65 - Step 4: Simplify right side
1,698,575,315,830.40x = 2,150,201,862,369,902,352,924,672 - Step 5: Solve for x
x = 2,150,201,862,369,902,352,924,672/1,698,575,315,830.40 - Step 6: Final answer
x = 1,265,885,499,648.10
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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.