Finding the Fourth Proportional to 4,427,221,433,804, 6,641,123,538,116.40 and 1,159,992,423,058.70
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Solution
The fourth proportional to 4,427,221,433,804, 6,641,123,538,116.40 and 1,159,992,423,058.70 is: 1,740,064,982,065.42
Step by Step Solution
- Step 1: Write the proportion equation
4,427,221,433,804 : 6,641,123,538,116.40 = 1,159,992,423,058.70 : x - Step 2: Convert to fraction form
4,427,221,433,804/6,641,123,538,116.40 = 1,159,992,423,058.70/x - Step 3: Cross multiply
4,427,221,433,804x = 6,641,123,538,116.40 × 1,159,992,423,058.70 - Step 4: Simplify right side
4,427,221,433,804x = 7,703,652,984,811,809,249,689,600 - Step 5: Solve for x
x = 7,703,652,984,811,809,249,689,600/4,427,221,433,804 - Step 6: Final answer
x = 1,740,064,982,065.42
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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.