Finding the Fourth Proportional to 1,561,778,881,658.80, 2,343,572,133,830.40 and 655,135,490,512.15
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Solution
The fourth proportional to 1,561,778,881,658.80, 2,343,572,133,830.40 and 655,135,490,512.15 is: 983,082,366,830.86
Step by Step Solution
- Step 1: Write the proportion equation
1,561,778,881,658.80 : 2,343,572,133,830.40 = 655,135,490,512.15 : x - Step 2: Convert to fraction form
1,561,778,881,658.80/2,343,572,133,830.40 = 655,135,490,512.15/x - Step 3: Cross multiply
1,561,778,881,658.80x = 2,343,572,133,830.40 × 655,135,490,512.15 - Step 4: Simplify right side
1,561,778,881,658.80x = 1,535,357,279,447,585,182,973,952 - Step 5: Solve for x
x = 1,535,357,279,447,585,182,973,952/1,561,778,881,658.80 - Step 6: Final answer
x = 983,082,366,830.86
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.