Finding the Fourth Proportional to 40,875,617,769,762, 61,313,583,866,012 and 9,896,636,261,096.20
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Solution
The fourth proportional to 40,875,617,769,762, 61,313,583,866,012 and 9,896,636,261,096.20 is: 14,844,992,455,013.61
Step by Step Solution
- Step 1: Write the proportion equation
40,875,617,769,762 : 61,313,583,866,012 = 9,896,636,261,096.20 : x - Step 2: Convert to fraction form
40,875,617,769,762/61,313,583,866,012 = 9,896,636,261,096.20/x - Step 3: Cross multiply
40,875,617,769,762x = 61,313,583,866,012 × 9,896,636,261,096.20 - Step 4: Simplify right side
40,875,617,769,762x = 606,798,237,386,137,209,178,947,584 - Step 5: Solve for x
x = 606,798,237,386,137,209,178,947,584/40,875,617,769,762 - Step 6: Final answer
x = 14,844,992,455,013.61
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.