Finding the Fourth Proportional to 2,151,430,996.48, 2,968,896,392.64 and 1,198,762,511.52
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Solution
The fourth proportional to 2,151,430,996.48, 2,968,896,392.64 and 1,198,762,511.52 is: 1,654,248,591.71
Step by Step Solution
- Step 1: Write the proportion equation
2,151,430,996.48 : 2,968,896,392.64 = 1,198,762,511.52 : x - Step 2: Convert to fraction form
2,151,430,996.48/2,968,896,392.64 = 1,198,762,511.52/x - Step 3: Cross multiply
2,151,430,996.48x = 2,968,896,392.64 × 1,198,762,511.52 - Step 4: Simplify right side
2,151,430,996.48x = 3,559,001,696,083,794,432 - Step 5: Solve for x
x = 3,559,001,696,083,794,432/2,151,430,996.48 - Step 6: Final answer
x = 1,654,248,591.71
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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.