Finding the Fourth Proportional to 1,486,009,369,506.80, 2,050,660,787,962.50 and 860,316,523,209.73
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Solution
The fourth proportional to 1,486,009,369,506.80, 2,050,660,787,962.50 and 860,316,523,209.73 is: 1,187,218,193,629.53
Step by Step Solution
- Step 1: Write the proportion equation
1,486,009,369,506.80 : 2,050,660,787,962.50 = 860,316,523,209.73 : x - Step 2: Convert to fraction form
1,486,009,369,506.80/2,050,660,787,962.50 = 860,316,523,209.73/x - Step 3: Cross multiply
1,486,009,369,506.80x = 2,050,660,787,962.50 × 860,316,523,209.73 - Step 4: Simplify right side
1,486,009,369,506.80x = 1,764,217,359,382,423,407,689,728 - Step 5: Solve for x
x = 1,764,217,359,382,423,407,689,728/1,486,009,369,506.80 - Step 6: Final answer
x = 1,187,218,193,629.53
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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.