Finding the Fourth Proportional to 679,801,310,817.12, 938,549,185,590.56 and 432,742,988,754
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Solution
The fourth proportional to 679,801,310,817.12, 938,549,185,590.56 and 432,742,988,754 is: 597,454,834,526.43
Step by Step Solution
- Step 1: Write the proportion equation
679,801,310,817.12 : 938,549,185,590.56 = 432,742,988,754 : x - Step 2: Convert to fraction form
679,801,310,817.12/938,549,185,590.56 = 432,742,988,754/x - Step 3: Cross multiply
679,801,310,817.12x = 938,549,185,590.56 × 432,742,988,754 - Step 4: Simplify right side
679,801,310,817.12x = 406,150,579,665,091,602,415,616 - Step 5: Solve for x
x = 406,150,579,665,091,602,415,616/679,801,310,817.12 - Step 6: Final answer
x = 597,454,834,526.43
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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.