Finding the Fourth Proportional to 1,507,679,747,986.10, 2,080,595,218,931.80 and 822,567,938,041.70
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Solution
The fourth proportional to 1,507,679,747,986.10, 2,080,595,218,931.80 and 822,567,938,041.70 is: 1,135,142,208,696.65
Step by Step Solution
- Step 1: Write the proportion equation
1,507,679,747,986.10 : 2,080,595,218,931.80 = 822,567,938,041.70 : x - Step 2: Convert to fraction form
1,507,679,747,986.10/2,080,595,218,931.80 = 822,567,938,041.70/x - Step 3: Cross multiply
1,507,679,747,986.10x = 2,080,595,218,931.80 × 822,567,938,041.70 - Step 4: Simplify right side
1,507,679,747,986.10x = 1,711,430,919,136,149,961,179,136 - Step 5: Solve for x
x = 1,711,430,919,136,149,961,179,136/1,507,679,747,986.10 - Step 6: Final answer
x = 1,135,142,208,696.65
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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.