Finding the Fourth Proportional to 1,484,406,909.98, 2,048,425,415.19 and 824,399,703.26
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Solution
The fourth proportional to 1,484,406,909.98, 2,048,425,415.19 and 824,399,703.26 is: 1,137,640,422.64
Step by Step Solution
- Step 1: Write the proportion equation
1,484,406,909.98 : 2,048,425,415.19 = 824,399,703.26 : x - Step 2: Convert to fraction form
1,484,406,909.98/2,048,425,415.19 = 824,399,703.26/x - Step 3: Cross multiply
1,484,406,909.98x = 2,048,425,415.19 × 824,399,703.26 - Step 4: Simplify right side
1,484,406,909.98x = 1,688,721,304,432,878,336 - Step 5: Solve for x
x = 1,688,721,304,432,878,336/1,484,406,909.98 - Step 6: Final answer
x = 1,137,640,422.64
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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.