Finding the Fourth Proportional to 2,230,672,765,683.20, 3,347,537,558,479.10 and 778,535,426,285.93
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Solution
The fourth proportional to 2,230,672,765,683.20, 3,347,537,558,479.10 and 778,535,426,285.93 is: 1,168,336,575,490.70
Step by Step Solution
- Step 1: Write the proportion equation
2,230,672,765,683.20 : 3,347,537,558,479.10 = 778,535,426,285.93 : x - Step 2: Convert to fraction form
2,230,672,765,683.20/3,347,537,558,479.10 = 778,535,426,285.93/x - Step 3: Cross multiply
2,230,672,765,683.20x = 3,347,537,558,479.10 × 778,535,426,285.93 - Step 4: Simplify right side
2,230,672,765,683.20x = 2,606,176,580,098,687,489,802,240 - Step 5: Solve for x
x = 2,606,176,580,098,687,489,802,240/2,230,672,765,683.20 - Step 6: Final answer
x = 1,168,336,575,490.70
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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.