Finding the Fourth Proportional to 779,864,681,762.08, 1,169,877,175,312.80 and 269,922,614,478.08
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Solution
The fourth proportional to 779,864,681,762.08, 1,169,877,175,312.80 and 269,922,614,478.08 is: 404,911,663,732.71
Step by Step Solution
- Step 1: Write the proportion equation
779,864,681,762.08 : 1,169,877,175,312.80 = 269,922,614,478.08 : x - Step 2: Convert to fraction form
779,864,681,762.08/1,169,877,175,312.80 = 269,922,614,478.08/x - Step 3: Cross multiply
779,864,681,762.08x = 1,169,877,175,312.80 × 269,922,614,478.08 - Step 4: Simplify right side
779,864,681,762.08x = 315,776,305,778,662,093,881,344 - Step 5: Solve for x
x = 315,776,305,778,662,093,881,344/779,864,681,762.08 - Step 6: Final answer
x = 404,911,663,732.71
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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.