Finding the Fourth Proportional to 7,842,163,267.65, 11,006,578,476.15 and 7,842,163,267.65
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Solution
The fourth proportional to 7,842,163,267.65, 11,006,578,476.15 and 7,842,163,267.65 is: 11,006,578,476.15
Step by Step Solution
- Step 1: Write the proportion equation
7,842,163,267.65 : 11,006,578,476.15 = 7,842,163,267.65 : x - Step 2: Convert to fraction form
7,842,163,267.65/11,006,578,476.15 = 7,842,163,267.65/x - Step 3: Cross multiply
7,842,163,267.65x = 11,006,578,476.15 × 7,842,163,267.65 - Step 4: Simplify right side
7,842,163,267.65x = 86,315,385,428,170,637,312 - Step 5: Solve for x
x = 86,315,385,428,170,637,312/7,842,163,267.65 - Step 6: Final answer
x = 11,006,578,476.15
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.