Finding the Fourth Proportional to 1,561,778,881,652.70, 2,343,572,133,821.40 and 655,135,490,506.16
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Solution
The fourth proportional to 1,561,778,881,652.70, 2,343,572,133,821.40 and 655,135,490,506.16 is: 983,082,366,821.94
Step by Step Solution
- Step 1: Write the proportion equation
1,561,778,881,652.70 : 2,343,572,133,821.40 = 655,135,490,506.16 : x - Step 2: Convert to fraction form
1,561,778,881,652.70/2,343,572,133,821.40 = 655,135,490,506.16/x - Step 3: Cross multiply
1,561,778,881,652.70x = 2,343,572,133,821.40 × 655,135,490,506.16 - Step 4: Simplify right side
1,561,778,881,652.70x = 1,535,357,279,427,650,897,575,936 - Step 5: Solve for x
x = 1,535,357,279,427,650,897,575,936/1,561,778,881,652.70 - Step 6: Final answer
x = 983,082,366,821.94
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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.